List of 5-limit factorizations

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⟩