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{{Wikipedia|Integer factorization}}
{{Wikipedia|Integer factorization}}


By the {{w|fundamental theorem of arithmetic}}, any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.  
By the {{w|fundamental theorem of arithmetic}}, any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s. This is why, in regular temperament theory, prime [[Harmonic|harmonics]] are usually used as the basic building blocks of harmony.  


== Prime equal division ==
== Prime equal division ==