List of 5-limit factorizations: Difference between revisions

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Created page with "This list includes prime factorizations and monzos of all numbers from 5 to 99999 which are divisible by 5, and not divisible by any larger prime number. {| class="wi..."
 
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This list includes prime factorizations and [[monzo]]s of all numbers from 5 to 99999 which are divisible by 5, and not divisible by any larger [[prime number]].
This list includes prime factorizations and [[monzo]]s of all numbers from 1 to 99999 which are divisible by 5, and not divisible by any larger [[prime number]].


{| class="wikitable"
{| class="wikitable"
Line 6: Line 6:
! monzo
! monzo
|-
|-
| 5 || 5 || {{Monzo|0 0 1}}  
| 5 || 5 || {{Monzo| 0 0 1 }}  
|-
|-
| 10 || 2⋅5 || {{Monzo|1 0 1}}  
| 10 || 2⋅5 || {{Monzo| 1 0 1 }}  
|-
|-
| 15 || 3⋅5 || {{Monzo|0 1 1}}  
| 15 || 3⋅5 || {{Monzo| 0 1 1 }}  
|-
|-
| 20 || 2⋅2⋅5 || {{Monzo|2 0 1}}  
| 20 || 2⋅2⋅5 || {{Monzo| 2 0 1 }}  
|-
|-
| 25 || 5⋅5 || {{Monzo|0 0 2}}  
| 25 || 5⋅5 || {{Monzo| 0 0 2 }}  
|-
|-
| 30 || 2⋅3⋅5 || {{Monzo|1 1 1}}  
| 30 || 2⋅3⋅5 || {{Monzo| 1 1 1 }}  
|-
|-
| 40 || 2⋅2⋅2⋅5 || {{Monzo|3 0 1}}  
| 40 || 2⋅2⋅2⋅5 || {{Monzo| 3 0 1 }}  
|-
|-
| 45 || 3⋅3⋅5 || {{Monzo|0 2 1}}  
| 45 || 3⋅3⋅5 || {{Monzo| 0 2 1 }}  
|-
|-
| 50 || 2⋅5⋅5 || {{Monzo|1 0 2}}  
| 50 || 2⋅5⋅5 || {{Monzo| 1 0 2 }}  
|-
|-
| 60 || 2⋅2⋅3⋅5 || {{Monzo|2 1 1}}  
| 60 || 2⋅2⋅3⋅5 || {{Monzo| 2 1 1 }}  
|-
|-
| 75 || 3⋅5⋅5 || {{Monzo|0 1 2}}  
| 75 || 3⋅5⋅5 || {{Monzo| 0 1 2 }}  
|-
|-
| 80 || 2⋅2⋅2⋅2⋅5 || {{Monzo|4 0 1}}  
| 80 || 2⋅2⋅2⋅2⋅5 || {{Monzo| 4 0 1 }}  
|-
|-
| 90 || 2⋅3⋅3⋅5 || {{Monzo|1 2 1}}  
| 90 || 2⋅3⋅3⋅5 || {{Monzo| 1 2 1 }}  
|-
|-
| 100 || 2⋅2⋅5⋅5 || {{Monzo|2 0 2}}  
| 100 || 2⋅2⋅5⋅5 || {{Monzo| 2 0 2 }}  
|-
|-
| 120 || 2⋅2⋅2⋅3⋅5 || {{Monzo|3 1 1}}  
| 120 || 2⋅2⋅2⋅3⋅5 || {{Monzo| 3 1 1 }}  
|-
|-
| 125 || 5⋅5⋅5 || {{Monzo|0 0 3}}  
| 125 || 5⋅5⋅5 || {{Monzo| 0 0 3 }}  
|-
|-
| 135 || 3⋅3⋅3⋅5 || {{Monzo|0 3 1}}  
| 135 || 3⋅3⋅3⋅5 || {{Monzo| 0 3 1 }}  
|-
|-
| 150 || 2⋅3⋅5⋅5 || {{Monzo|1 1 2}}  
| 150 || 2⋅3⋅5⋅5 || {{Monzo| 1 1 2 }}  
|-
|-
| 160 || 2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|5 0 1}}  
| 160 || 2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 5 0 1 }}  
|-
|-
| 180 || 2⋅2⋅3⋅3⋅5 || {{Monzo|2 2 1}}  
| 180 || 2⋅2⋅3⋅3⋅5 || {{Monzo| 2 2 1 }}  
|-
|-
| 200 || 2⋅2⋅2⋅5⋅5 || {{Monzo|3 0 2}}  
| 200 || 2⋅2⋅2⋅5⋅5 || {{Monzo| 3 0 2 }}  
|-
|-
| 225 || 3⋅3⋅5⋅5 || {{Monzo|0 2 2}}  
| 225 || 3⋅3⋅5⋅5 || {{Monzo| 0 2 2 }}  
|-
|-
| 240 || 2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|4 1 1}}  
| 240 || 2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 4 1 1 }}  
|-
|-
| 250 || 2⋅5⋅5⋅5 || {{Monzo|1 0 3}}  
| 250 || 2⋅5⋅5⋅5 || {{Monzo| 1 0 3 }}  
|-
|-
| 270 || 2⋅3⋅3⋅3⋅5 || {{Monzo|1 3 1}}  
| 270 || 2⋅3⋅3⋅3⋅5 || {{Monzo| 1 3 1 }}  
|-
|-
| 300 || 2⋅2⋅3⋅5⋅5 || {{Monzo|2 1 2}}  
| 300 || 2⋅2⋅3⋅5⋅5 || {{Monzo| 2 1 2 }}  
|-
|-
| 320 || 2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|6 0 1}}  
| 320 || 2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 6 0 1 }}  
|-
|-
| 360 || 2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|3 2 1}}  
| 360 || 2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 3 2 1 }}  
|-
|-
| 375 || 3⋅5⋅5⋅5 || {{Monzo|0 1 3}}  
| 375 || 3⋅5⋅5⋅5 || {{Monzo| 0 1 3 }}  
|-
|-
| 400 || 2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|4 0 2}}  
| 400 || 2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 4 0 2 }}  
|-
|-
| 405 || 3⋅3⋅3⋅3⋅5 || {{Monzo|0 4 1}}  
| 405 || 3⋅3⋅3⋅3⋅5 || {{Monzo| 0 4 1 }}  
|-
|-
| 450 || 2⋅3⋅3⋅5⋅5 || {{Monzo|1 2 2}}  
| 450 || 2⋅3⋅3⋅5⋅5 || {{Monzo| 1 2 2 }}  
|-
|-
| 480 || 2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|5 1 1}}  
| 480 || 2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 5 1 1 }}  
|-
|-
| 500 || 2⋅2⋅5⋅5⋅5 || {{Monzo|2 0 3}}  
| 500 || 2⋅2⋅5⋅5⋅5 || {{Monzo| 2 0 3 }}  
|-
|-
| 540 || 2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|2 3 1}}  
| 540 || 2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 2 3 1 }}  
|-
|-
| 600 || 2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|3 1 2}}  
| 600 || 2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 3 1 2 }}  
|-
|-
| 625 || 5⋅5⋅5⋅5 || {{Monzo|0 0 4}}  
| 625 || 5⋅5⋅5⋅5 || {{Monzo| 0 0 4 }}  
|-
|-
| 640 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|7 0 1}}  
| 640 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 7 0 1 }}  
|-
|-
| 675 || 3⋅3⋅3⋅5⋅5 || {{Monzo|0 3 2}}  
| 675 || 3⋅3⋅3⋅5⋅5 || {{Monzo| 0 3 2 }}  
|-
|-
| 720 || 2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|4 2 1}}  
| 720 || 2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 4 2 1 }}  
|-
|-
| 750 || 2⋅3⋅5⋅5⋅5 || {{Monzo|1 1 3}}  
| 750 || 2⋅3⋅5⋅5⋅5 || {{Monzo| 1 1 3 }}  
|-
|-
| 800 || 2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|5 0 2}}  
| 800 || 2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 5 0 2 }}  
|-
|-
| 810 || 2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|1 4 1}}  
| 810 || 2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 1 4 1 }}  
|-
|-
| 900 || 2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|2 2 2}}  
| 900 || 2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 2 2 2 }}  
|-
|-
| 960 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|6 1 1}}  
| 960 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 6 1 1 }}  
|-
|-
| 1000 || 2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|3 0 3}}  
| 1000 || 2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 3 0 3 }}  
|-
|-
| 1080 || 2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|3 3 1}}  
| 1080 || 2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 3 3 1 }}  
|-
|-
| 1125 || 3⋅3⋅5⋅5⋅5 || {{Monzo|0 2 3}}  
| 1125 || 3⋅3⋅5⋅5⋅5 || {{Monzo| 0 2 3 }}  
|-
|-
| 1200 || 2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|4 1 2}}  
| 1200 || 2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 4 1 2 }}  
|-
|-
| 1215 || 3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|0 5 1}}  
| 1215 || 3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 0 5 1 }}  
|-
|-
| 1250 || 2⋅5⋅5⋅5⋅5 || {{Monzo|1 0 4}}  
| 1250 || 2⋅5⋅5⋅5⋅5 || {{Monzo| 1 0 4 }}  
|-
|-
| 1280 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|8 0 1}}  
| 1280 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 8 0 1 }}  
|-
|-
| 1350 || 2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|1 3 2}}  
| 1350 || 2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 1 3 2 }}  
|-
|-
| 1440 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|5 2 1}}  
| 1440 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 5 2 1 }}  
|-
|-
| 1500 || 2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|2 1 3}}  
| 1500 || 2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 2 1 3 }}  
|-
|-
| 1600 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|6 0 2}}  
| 1600 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 6 0 2 }}  
|-
|-
| 1620 || 2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|2 4 1}}  
| 1620 || 2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 2 4 1 }}  
|-
|-
| 1800 || 2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|3 2 2}}  
| 1800 || 2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 3 2 2 }}  
|-
|-
| 1875 || 3⋅5⋅5⋅5⋅5 || {{Monzo|0 1 4}}  
| 1875 || 3⋅5⋅5⋅5⋅5 || {{Monzo| 0 1 4 }}  
|-
|-
| 1920 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|7 1 1}}  
| 1920 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 7 1 1 }}  
|-
|-
| 2000 || 2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|4 0 3}}  
| 2000 || 2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 4 0 3 }}  
|-
|-
| 2025 || 3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|0 4 2}}  
| 2025 || 3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 0 4 2 }}  
|-
|-
| 2160 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|4 3 1}}  
| 2160 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 4 3 1 }}  
|-
|-
| 2250 || 2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|1 2 3}}  
| 2250 || 2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 1 2 3 }}  
|-
|-
| 2400 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|5 1 2}}  
| 2400 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 5 1 2 }}  
|-
|-
| 2430 || 2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|1 5 1}}  
| 2430 || 2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 1 5 1 }}  
|-
|-
| 2500 || 2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|2 0 4}}  
| 2500 || 2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 2 0 4 }}  
|-
|-
| 2560 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|9 0 1}}  
| 2560 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 9 0 1 }}  
|-
|-
| 2700 || 2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|2 3 2}}  
| 2700 || 2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 2 3 2 }}  
|-
|-
| 2880 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|6 2 1}}  
| 2880 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 6 2 1 }}  
|-
|-
| 3000 || 2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|3 1 3}}  
| 3000 || 2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 3 1 3 }}  
|-
|-
| 3125 || 5⋅5⋅5⋅5⋅5 || {{Monzo|0 0 5}}  
| 3125 || 5⋅5⋅5⋅5⋅5 || {{Monzo| 0 0 5 }}  
|-
|-
| 3200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|7 0 2}}  
| 3200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 7 0 2 }}  
|-
|-
| 3240 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|3 4 1}}  
| 3240 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 3 4 1 }}  
|-
|-
| 3375 || 3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|0 3 3}}  
| 3375 || 3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 0 3 3 }}  
|-
|-
| 3600 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|4 2 2}}  
| 3600 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 4 2 2 }}  
|-
|-
| 3645 || 3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|0 6 1}}  
| 3645 || 3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 0 6 1 }}  
|-
|-
| 3750 || 2⋅3⋅5⋅5⋅5⋅5 || {{Monzo|1 1 4}}  
| 3750 || 2⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 1 1 4 }}  
|-
|-
| 3840 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|8 1 1}}  
| 3840 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 8 1 1 }}  
|-
|-
| 4000 || 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|5 0 3}}  
| 4000 || 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 5 0 3 }}  
|-
|-
| 4050 || 2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|1 4 2}}  
| 4050 || 2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 1 4 2 }}  
|-
|-
| 4320 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|5 3 1}}  
| 4320 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 5 3 1 }}  
|-
|-
| 4500 || 2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|2 2 3}}  
| 4500 || 2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 2 2 3 }}  
|-
|-
| 4800 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|6 1 2}}  
| 4800 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 6 1 2 }}  
|-
|-
| 4860 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|2 5 1}}  
| 4860 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 2 5 1 }}  
|-
|-
| 5000 || 2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|3 0 4}}  
| 5000 || 2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 3 0 4 }}  
|-
|-
| 5120 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|10 0 1}}  
| 5120 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 10 0 1 }}  
|-
|-
| 5400 || 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|3 3 2}}  
| 5400 || 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 3 3 2 }}  
|-
|-
| 5625 || 3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|0 2 4}}  
| 5625 || 3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 0 2 4 }}  
|-
|-
| 5760 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|7 2 1}}  
| 5760 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 7 2 1 }}  
|-
|-
| 6000 || 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|4 1 3}}  
| 6000 || 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 4 1 3 }}  
|-
|-
| 6075 || 3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|0 5 2}}  
| 6075 || 3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 0 5 2 }}  
|-
|-
| 6250 || 2⋅5⋅5⋅5⋅5⋅5 || {{Monzo|1 0 5}}  
| 6250 || 2⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 1 0 5 }}  
|-
|-
| 6400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|8 0 2}}  
| 6400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 8 0 2 }}  
|-
|-
| 6480 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|4 4 1}}  
| 6480 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 4 4 1 }}  
|-
|-
| 6750 || 2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|1 3 3}}  
| 6750 || 2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 1 3 3 }}  
|-
|-
| 7200 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|5 2 2}}  
| 7200 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 5 2 2 }}  
|-
|-
| 7290 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|1 6 1}}  
| 7290 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 1 6 1 }}  
|-
|-
| 7500 || 2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo|2 1 4}}  
| 7500 || 2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 2 1 4 }}  
|-
|-
| 7680 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|9 1 1}}  
| 7680 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 9 1 1 }}  
|-
|-
| 8000 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|6 0 3}}  
| 8000 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 6 0 3 }}  
|-
|-
| 8100 || 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|2 4 2}}  
| 8100 || 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 2 4 2 }}  
|-
|-
| 8640 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|6 3 1}}  
| 8640 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 6 3 1 }}  
|-
|-
| 9000 || 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|3 2 3}}  
| 9000 || 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 3 2 3 }}  
|-
|-
| 9375 || 3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 1 5}}  
| 9375 || 3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 1 5 }}  
|-
|-
| 9600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|7 1 2}}  
| 9600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 7 1 2 }}  
|-
|-
| 9720 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|3 5 1}}  
| 9720 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 3 5 1 }}  
|-
|-
| 10000 || 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|4 0 4}}  
| 10000 || 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 4 0 4 }}  
|-
|-
| 10125 || 3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|0 4 3}}  
| 10125 || 3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 0 4 3 }}  
|-
|-
| 10240 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|11 0 1}}  
| 10240 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 11 0 1 }}  
|-
|-
| 10800 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|4 3 2}}  
| 10800 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 4 3 2 }}  
|-
|-
| 10935 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|0 7 1}}  
| 10935 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 0 7 1 }}  
|-
|-
| 11250 || 2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|1 2 4}}  
| 11250 || 2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 1 2 4 }}  
|-
|-
| 11520 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|8 2 1}}  
| 11520 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 8 2 1 }}  
|-
|-
| 12000 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|5 1 3}}  
| 12000 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 5 1 3 }}  
|-
|-
| 12150 || 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|1 5 2}}  
| 12150 || 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 1 5 2 }}  
|-
|-
| 12500 || 2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo|2 0 5}}  
| 12500 || 2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 2 0 5 }}  
|-
|-
| 12800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|9 0 2}}  
| 12800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 9 0 2 }}  
|-
|-
| 12960 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|5 4 1}}  
| 12960 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 5 4 1 }}  
|-
|-
| 13500 || 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|2 3 3}}  
| 13500 || 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 2 3 3 }}  
|-
|-
| 14400 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|6 2 2}}  
| 14400 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 6 2 2 }}  
|-
|-
| 14580 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|2 6 1}}  
| 14580 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 2 6 1 }}  
|-
|-
| 15000 || 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo|3 1 4}}  
| 15000 || 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 3 1 4 }}  
|-
|-
| 15360 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|10 1 1}}  
| 15360 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 10 1 1 }}  
|-
|-
| 15625 || 5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 0 6}}  
| 15625 || 5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 0 6 }}  
|-
|-
| 16000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|7 0 3}}  
| 16000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 7 0 3 }}  
|-
|-
| 16200 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|3 4 2}}  
| 16200 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 3 4 2 }}  
|-
|-
| 16875 || 3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|0 3 4}}  
| 16875 || 3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 0 3 4 }}  
|-
|-
| 17280 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|7 3 1}}  
| 17280 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 7 3 1 }}  
|-
|-
| 18000 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|4 2 3}}  
| 18000 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 4 2 3 }}  
|-
|-
| 18225 || 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|0 6 2}}  
| 18225 || 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 0 6 2 }}  
|-
|-
| 18750 || 2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|1 1 5}}  
| 18750 || 2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 1 1 5 }}  
|-
|-
| 19200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|8 1 2}}  
| 19200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 8 1 2 }}  
|-
|-
| 19440 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|4 5 1}}  
| 19440 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 4 5 1 }}  
|-
|-
| 20000 || 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|5 0 4}}  
| 20000 || 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 5 0 4 }}  
|-
|-
| 20250 || 2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|1 4 3}}  
| 20250 || 2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 1 4 3 }}  
|-
|-
| 20480 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|12 0 1}}  
| 20480 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 12 0 1 }}  
|-
|-
| 21600 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|5 3 2}}  
| 21600 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 5 3 2 }}  
|-
|-
| 21870 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|1 7 1}}  
| 21870 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 1 7 1 }}  
|-
|-
| 22500 || 2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|2 2 4}}  
| 22500 || 2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 2 2 4 }}  
|-
|-
| 23040 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|9 2 1}}  
| 23040 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 9 2 1 }}  
|-
|-
| 24000 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|6 1 3}}  
| 24000 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 6 1 3 }}  
|-
|-
| 24300 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|2 5 2}}  
| 24300 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 2 5 2 }}  
|-
|-
| 25000 || 2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo|3 0 5}}  
| 25000 || 2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 3 0 5 }}  
|-
|-
| 25600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|10 0 2}}  
| 25600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 10 0 2 }}  
|-
|-
| 25920 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|6 4 1}}  
| 25920 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 6 4 1 }}  
|-
|-
| 27000 || 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|3 3 3}}  
| 27000 || 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 3 3 3 }}  
|-
|-
| 28125 || 3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 2 5}}  
| 28125 || 3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 2 5 }}  
|-
|-
| 28800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|7 2 2}}  
| 28800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 7 2 2 }}  
|-
|-
| 29160 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|3 6 1}}  
| 29160 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 3 6 1 }}  
|-
|-
| 30000 || 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo|4 1 4}}  
| 30000 || 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 4 1 4 }}  
|-
|-
| 30375 || 3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|0 5 3}}  
| 30375 || 3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 0 5 3 }}  
|-
|-
| 30720 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|11 1 1}}  
| 30720 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 11 1 1 }}  
|-
|-
| 31250 || 2⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|1 0 6}}  
| 31250 || 2⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 1 0 6 }}  
|-
|-
| 32000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|8 0 3}}  
| 32000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 8 0 3 }}  
|-
|-
| 32400 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|4 4 2}}  
| 32400 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 4 4 2 }}  
|-
|-
| 32805 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|0 8 1}}  
| 32805 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 0 8 1 }}  
|-
|-
| 33750 || 2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|1 3 4}}  
| 33750 || 2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 1 3 4 }}  
|-
|-
| 34560 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|8 3 1}}  
| 34560 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 8 3 1 }}  
|-
|-
| 36000 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|5 2 3}}  
| 36000 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 5 2 3 }}  
|-
|-
| 36450 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|1 6 2}}  
| 36450 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 1 6 2 }}  
|-
|-
| 37500 || 2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|2 1 5}}  
| 37500 || 2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 2 1 5 }}  
|-
|-
| 38400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|9 1 2}}  
| 38400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 9 1 2 }}  
|-
|-
| 38880 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|5 5 1}}  
| 38880 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 5 5 1 }}  
|-
|-
| 40000 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|6 0 4}}  
| 40000 || 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 6 0 4 }}  
|-
|-
| 40500 || 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|2 4 3}}  
| 40500 || 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 2 4 3 }}  
|-
|-
| 40960 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|13 0 1}}  
| 40960 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 13 0 1 }}  
|-
|-
| 43200 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|6 3 2}}  
| 43200 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 6 3 2 }}  
|-
|-
| 43740 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|2 7 1}}  
| 43740 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 2 7 1 }}  
|-
|-
| 45000 || 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|3 2 4}}  
| 45000 || 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 3 2 4 }}  
|-
|-
| 46080 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|10 2 1}}  
| 46080 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 10 2 1 }}  
|-
|-
| 46875 || 3⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 1 6}}  
| 46875 || 3⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 1 6 }}  
|-
|-
| 48000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|7 1 3}}  
| 48000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 7 1 3 }}  
|-
|-
| 48600 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|3 5 2}}  
| 48600 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 3 5 2 }}  
|-
|-
| 50000 || 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo|4 0 5}}  
| 50000 || 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 4 0 5 }}  
|-
|-
| 50625 || 3⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|0 4 4}}  
| 50625 || 3⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 0 4 4 }}  
|-
|-
| 51200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo|11 0 2}}  
| 51200 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 || {{Monzo| 11 0 2 }}  
|-
|-
| 51840 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo|7 4 1}}  
| 51840 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 7 4 1 }}  
|-
|-
| 54000 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|4 3 3}}  
| 54000 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 4 3 3 }}  
|-
|-
| 54675 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|0 7 2}}  
| 54675 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 0 7 2 }}  
|-
|-
| 56250 || 2⋅3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|1 2 5}}  
| 56250 || 2⋅3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 1 2 5 }}  
|-
|-
| 57600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo|8 2 2}}  
| 57600 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 || {{Monzo| 8 2 2 }}  
|-
|-
| 58320 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|4 6 1}}  
| 58320 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 4 6 1 }}  
|-
|-
| 60000 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo|5 1 4}}  
| 60000 || 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 5 1 4 }}  
|-
|-
| 60750 || 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|1 5 3}}  
| 60750 || 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 1 5 3 }}  
|-
|-
| 61440 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo|12 1 1}}  
| 61440 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 || {{Monzo| 12 1 1 }}  
|-
|-
| 62500 || 2⋅2⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|2 0 6}}  
| 62500 || 2⋅2⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 2 0 6 }}  
|-
|-
| 64000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo|9 0 3}}  
| 64000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 || {{Monzo| 9 0 3 }}  
|-
|-
| 64800 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|5 4 2}}  
| 64800 || 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 5 4 2 }}  
|-
|-
| 65610 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|1 8 1}}  
| 65610 || 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 1 8 1 }}  
|-
|-
| 67500 || 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|2 3 4}}  
| 67500 || 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 2 3 4 }}  
|-
|-
| 69120 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo|9 3 1}}  
| 69120 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 || {{Monzo| 9 3 1 }}  
|-
|-
| 72000 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo|6 2 3}}  
| 72000 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 6 2 3 }}  
|-
|-
| 72900 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|2 6 2}}  
| 72900 || 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 2 6 2 }}  
|-
|-
| 75000 || 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|3 1 5}}  
| 75000 || 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 3 1 5 }}  
|-
|-
| 76800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo|10 1 2}}  
| 76800 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 || {{Monzo| 10 1 2 }}  
|-
|-
| 77760 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|6 5 1}}  
| 77760 || 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 6 5 1 }}  
|-
|-
| 78125 || 5⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 0 7}}  
| 78125 || 5⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 0 7 }}  
|-
|-
| 80000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo|7 0 4}}  
| 80000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 || {{Monzo| 7 0 4 }}  
|-
|-
| 81000 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|3 4 3}}  
| 81000 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 3 4 3 }}  
|-
|-
| 81920 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo|14 0 1}}  
| 81920 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 || {{Monzo| 14 0 1 }}  
|-
|-
| 84375 || 3⋅3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo|0 3 5}}  
| 84375 || 3⋅3⋅3⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 0 3 5 }}  
|-
|-
| 86400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo|7 3 2}}  
| 86400 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 7 3 2 }}  
|-
|-
| 87480 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|3 7 1}}  
| 87480 || 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 3 7 1 }}  
|-
|-
| 90000 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo|4 2 4}}  
| 90000 || 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 || {{Monzo| 4 2 4 }}  
|-
|-
| 91125 || 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo|0 6 3}}  
| 91125 || 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 || {{Monzo| 0 6 3 }}  
|-
|-
| 92160 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo|11 2 1}}  
| 92160 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 || {{Monzo| 11 2 1 }}  
|-
|-
| 93750 || 2⋅3⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo|1 1 6}}  
| 93750 || 2⋅3⋅5⋅5⋅5⋅5⋅5⋅5 || {{Monzo| 1 1 6 }}  
|-
|-
| 96000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo|8 1 3}}  
| 96000 || 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 || {{Monzo| 8 1 3 }}  
|-
|-
| 97200 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo|4 5 2}}  
| 97200 || 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 || {{Monzo| 4 5 2 }}  
|-
|-
| 98415 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo|0 9 1}}  
| 98415 || 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 || {{Monzo| 0 9 1 }}  
|}
|}
{{todo|inline=1|clarify|improve synopsis|comment=Explain the musical uses for this table in the introduction.}}
{{todo|inline=1|link|comment=Link to this table from relevant pages, and add a see also at the end to give readers somewhere to go next.}}
[[Category:5-limit]]
[[Category:Math]]
[[Category:Lists]]

Latest revision as of 06:46, 21 December 2024

This list includes prime factorizations and monzos of all numbers from 1 to 99999 which are divisible by 5, and not divisible by any larger prime number.

integer factorization monzo
5 5 [0 0 1⟩
10 2⋅5 [1 0 1⟩
15 3⋅5 [0 1 1⟩
20 2⋅2⋅5 [2 0 1⟩
25 5⋅5 [0 0 2⟩
30 2⋅3⋅5 [1 1 1⟩
40 2⋅2⋅2⋅5 [3 0 1⟩
45 3⋅3⋅5 [0 2 1⟩
50 2⋅5⋅5 [1 0 2⟩
60 2⋅2⋅3⋅5 [2 1 1⟩
75 3⋅5⋅5 [0 1 2⟩
80 2⋅2⋅2⋅2⋅5 [4 0 1⟩
90 2⋅3⋅3⋅5 [1 2 1⟩
100 2⋅2⋅5⋅5 [2 0 2⟩
120 2⋅2⋅2⋅3⋅5 [3 1 1⟩
125 5⋅5⋅5 [0 0 3⟩
135 3⋅3⋅3⋅5 [0 3 1⟩
150 2⋅3⋅5⋅5 [1 1 2⟩
160 2⋅2⋅2⋅2⋅2⋅5 [5 0 1⟩
180 2⋅2⋅3⋅3⋅5 [2 2 1⟩
200 2⋅2⋅2⋅5⋅5 [3 0 2⟩
225 3⋅3⋅5⋅5 [0 2 2⟩
240 2⋅2⋅2⋅2⋅3⋅5 [4 1 1⟩
250 2⋅5⋅5⋅5 [1 0 3⟩
270 2⋅3⋅3⋅3⋅5 [1 3 1⟩
300 2⋅2⋅3⋅5⋅5 [2 1 2⟩
320 2⋅2⋅2⋅2⋅2⋅2⋅5 [6 0 1⟩
360 2⋅2⋅2⋅3⋅3⋅5 [3 2 1⟩
375 3⋅5⋅5⋅5 [0 1 3⟩
400 2⋅2⋅2⋅2⋅5⋅5 [4 0 2⟩
405 3⋅3⋅3⋅3⋅5 [0 4 1⟩
450 2⋅3⋅3⋅5⋅5 [1 2 2⟩
480 2⋅2⋅2⋅2⋅2⋅3⋅5 [5 1 1⟩
500 2⋅2⋅5⋅5⋅5 [2 0 3⟩
540 2⋅2⋅3⋅3⋅3⋅5 [2 3 1⟩
600 2⋅2⋅2⋅3⋅5⋅5 [3 1 2⟩
625 5⋅5⋅5⋅5 [0 0 4⟩
640 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [7 0 1⟩
675 3⋅3⋅3⋅5⋅5 [0 3 2⟩
720 2⋅2⋅2⋅2⋅3⋅3⋅5 [4 2 1⟩
750 2⋅3⋅5⋅5⋅5 [1 1 3⟩
800 2⋅2⋅2⋅2⋅2⋅5⋅5 [5 0 2⟩
810 2⋅3⋅3⋅3⋅3⋅5 [1 4 1⟩
900 2⋅2⋅3⋅3⋅5⋅5 [2 2 2⟩
960 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [6 1 1⟩
1000 2⋅2⋅2⋅5⋅5⋅5 [3 0 3⟩
1080 2⋅2⋅2⋅3⋅3⋅3⋅5 [3 3 1⟩
1125 3⋅3⋅5⋅5⋅5 [0 2 3⟩
1200 2⋅2⋅2⋅2⋅3⋅5⋅5 [4 1 2⟩
1215 3⋅3⋅3⋅3⋅3⋅5 [0 5 1⟩
1250 2⋅5⋅5⋅5⋅5 [1 0 4⟩
1280 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [8 0 1⟩
1350 2⋅3⋅3⋅3⋅5⋅5 [1 3 2⟩
1440 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [5 2 1⟩
1500 2⋅2⋅3⋅5⋅5⋅5 [2 1 3⟩
1600 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [6 0 2⟩
1620 2⋅2⋅3⋅3⋅3⋅3⋅5 [2 4 1⟩
1800 2⋅2⋅2⋅3⋅3⋅5⋅5 [3 2 2⟩
1875 3⋅5⋅5⋅5⋅5 [0 1 4⟩
1920 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [7 1 1⟩
2000 2⋅2⋅2⋅2⋅5⋅5⋅5 [4 0 3⟩
2025 3⋅3⋅3⋅3⋅5⋅5 [0 4 2⟩
2160 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [4 3 1⟩
2250 2⋅3⋅3⋅5⋅5⋅5 [1 2 3⟩
2400 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [5 1 2⟩
2430 2⋅3⋅3⋅3⋅3⋅3⋅5 [1 5 1⟩
2500 2⋅2⋅5⋅5⋅5⋅5 [2 0 4⟩
2560 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [9 0 1⟩
2700 2⋅2⋅3⋅3⋅3⋅5⋅5 [2 3 2⟩
2880 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [6 2 1⟩
3000 2⋅2⋅2⋅3⋅5⋅5⋅5 [3 1 3⟩
3125 5⋅5⋅5⋅5⋅5 [0 0 5⟩
3200 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [7 0 2⟩
3240 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 [3 4 1⟩
3375 3⋅3⋅3⋅5⋅5⋅5 [0 3 3⟩
3600 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 [4 2 2⟩
3645 3⋅3⋅3⋅3⋅3⋅3⋅5 [0 6 1⟩
3750 2⋅3⋅5⋅5⋅5⋅5 [1 1 4⟩
3840 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [8 1 1⟩
4000 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 [5 0 3⟩
4050 2⋅3⋅3⋅3⋅3⋅5⋅5 [1 4 2⟩
4320 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [5 3 1⟩
4500 2⋅2⋅3⋅3⋅5⋅5⋅5 [2 2 3⟩
4800 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [6 1 2⟩
4860 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 [2 5 1⟩
5000 2⋅2⋅2⋅5⋅5⋅5⋅5 [3 0 4⟩
5120 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [10 0 1⟩
5400 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 [3 3 2⟩
5625 3⋅3⋅5⋅5⋅5⋅5 [0 2 4⟩
5760 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [7 2 1⟩
6000 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 [4 1 3⟩
6075 3⋅3⋅3⋅3⋅3⋅5⋅5 [0 5 2⟩
6250 2⋅5⋅5⋅5⋅5⋅5 [1 0 5⟩
6400 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [8 0 2⟩
6480 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 [4 4 1⟩
6750 2⋅3⋅3⋅3⋅5⋅5⋅5 [1 3 3⟩
7200 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 [5 2 2⟩
7290 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [1 6 1⟩
7500 2⋅2⋅3⋅5⋅5⋅5⋅5 [2 1 4⟩
7680 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [9 1 1⟩
8000 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 [6 0 3⟩
8100 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 [2 4 2⟩
8640 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [6 3 1⟩
9000 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 [3 2 3⟩
9375 3⋅5⋅5⋅5⋅5⋅5 [0 1 5⟩
9600 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [7 1 2⟩
9720 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 [3 5 1⟩
10000 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 [4 0 4⟩
10125 3⋅3⋅3⋅3⋅5⋅5⋅5 [0 4 3⟩
10240 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [11 0 1⟩
10800 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 [4 3 2⟩
10935 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [0 7 1⟩
11250 2⋅3⋅3⋅5⋅5⋅5⋅5 [1 2 4⟩
11520 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [8 2 1⟩
12000 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 [5 1 3⟩
12150 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [1 5 2⟩
12500 2⋅2⋅5⋅5⋅5⋅5⋅5 [2 0 5⟩
12800 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [9 0 2⟩
12960 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 [5 4 1⟩
13500 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 [2 3 3⟩
14400 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 [6 2 2⟩
14580 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [2 6 1⟩
15000 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 [3 1 4⟩
15360 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [10 1 1⟩
15625 5⋅5⋅5⋅5⋅5⋅5 [0 0 6⟩
16000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 [7 0 3⟩
16200 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 [3 4 2⟩
16875 3⋅3⋅3⋅5⋅5⋅5⋅5 [0 3 4⟩
17280 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [7 3 1⟩
18000 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 [4 2 3⟩
18225 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [0 6 2⟩
18750 2⋅3⋅5⋅5⋅5⋅5⋅5 [1 1 5⟩
19200 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [8 1 2⟩
19440 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 [4 5 1⟩
20000 2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 [5 0 4⟩
20250 2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [1 4 3⟩
20480 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [12 0 1⟩
21600 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 [5 3 2⟩
21870 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [1 7 1⟩
22500 2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 [2 2 4⟩
23040 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [9 2 1⟩
24000 2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 [6 1 3⟩
24300 2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [2 5 2⟩
25000 2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 [3 0 5⟩
25600 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [10 0 2⟩
25920 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 [6 4 1⟩
27000 2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 [3 3 3⟩
28125 3⋅3⋅5⋅5⋅5⋅5⋅5 [0 2 5⟩
28800 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 [7 2 2⟩
29160 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [3 6 1⟩
30000 2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 [4 1 4⟩
30375 3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [0 5 3⟩
30720 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [11 1 1⟩
31250 2⋅5⋅5⋅5⋅5⋅5⋅5 [1 0 6⟩
32000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 [8 0 3⟩
32400 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 [4 4 2⟩
32805 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [0 8 1⟩
33750 2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 [1 3 4⟩
34560 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [8 3 1⟩
36000 2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 [5 2 3⟩
36450 2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [1 6 2⟩
37500 2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 [2 1 5⟩
38400 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [9 1 2⟩
38880 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 [5 5 1⟩
40000 2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 [6 0 4⟩
40500 2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [2 4 3⟩
40960 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [13 0 1⟩
43200 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 [6 3 2⟩
43740 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [2 7 1⟩
45000 2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 [3 2 4⟩
46080 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [10 2 1⟩
46875 3⋅5⋅5⋅5⋅5⋅5⋅5 [0 1 6⟩
48000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 [7 1 3⟩
48600 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [3 5 2⟩
50000 2⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅5 [4 0 5⟩
50625 3⋅3⋅3⋅3⋅5⋅5⋅5⋅5 [0 4 4⟩
51200 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5 [11 0 2⟩
51840 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5 [7 4 1⟩
54000 2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5⋅5 [4 3 3⟩
54675 3⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [0 7 2⟩
56250 2⋅3⋅3⋅5⋅5⋅5⋅5⋅5 [1 2 5⟩
57600 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5 [8 2 2⟩
58320 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [4 6 1⟩
60000 2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5⋅5 [5 1 4⟩
60750 2⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [1 5 3⟩
61440 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5 [12 1 1⟩
62500 2⋅2⋅5⋅5⋅5⋅5⋅5⋅5 [2 0 6⟩
64000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5 [9 0 3⟩
64800 2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5 [5 4 2⟩
65610 2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [1 8 1⟩
67500 2⋅2⋅3⋅3⋅3⋅5⋅5⋅5⋅5 [2 3 4⟩
69120 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5 [9 3 1⟩
72000 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5 [6 2 3⟩
72900 2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [2 6 2⟩
75000 2⋅2⋅2⋅3⋅5⋅5⋅5⋅5⋅5 [3 1 5⟩
76800 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5 [10 1 2⟩
77760 2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5 [6 5 1⟩
78125 5⋅5⋅5⋅5⋅5⋅5⋅5 [0 0 7⟩
80000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅5⋅5⋅5⋅5 [7 0 4⟩
81000 2⋅2⋅2⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [3 4 3⟩
81920 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅5 [14 0 1⟩
84375 3⋅3⋅3⋅5⋅5⋅5⋅5⋅5 [0 3 5⟩
86400 2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅3⋅5⋅5 [7 3 2⟩
87480 2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [3 7 1⟩
90000 2⋅2⋅2⋅2⋅3⋅3⋅5⋅5⋅5⋅5 [4 2 4⟩
91125 3⋅3⋅3⋅3⋅3⋅3⋅5⋅5⋅5 [0 6 3⟩
92160 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅3⋅5 [11 2 1⟩
93750 2⋅3⋅5⋅5⋅5⋅5⋅5⋅5 [1 1 6⟩
96000 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅3⋅5⋅5⋅5 [8 1 3⟩
97200 2⋅2⋅2⋅2⋅3⋅3⋅3⋅3⋅3⋅5⋅5 [4 5 2⟩
98415 3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅3⋅5 [0 9 1⟩


Todo: clarify , improve synopsis

Explain the musical uses for this table in the introduction.

Todo: link

Link to this table from relevant pages, and add a see also at the end to give readers somewhere to go next.

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