factorization in prime factors

Japanese: 素因数分解 - そいんすうぶんかい（英語表記）factorization in prime factors

Any composite number a can be expressed as a product of a finite number of prime numbers. In this case, the finite number of prime numbers that are factors of a are called the prime factors of a , and expressing a as a product of prime factors is called prime factorizing a . If we ignore the order of the factors, any composite number can be decomposed into prime factors in exactly one way. This fact is called the uniqueness of prime factorization. For example, 315 can be decomposed into prime factors as follows: 315 = 3 ² × 5 × 7. (→Factorization)

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:

任意の合成数 a は，有限個の素数の積として表わすことができる。このとき a の因数となる有限個の素数は，a の素因数といわれ，a を素因数の積の形に表わすことを，a を素因数分解するという。合成数は，因数の順序を無視すれば，すべてただ1通りに素因数分解することができる。この事実を素因数分解の一意性という。たとえば 315は 315＝3²×5×7 のように素因数分解される。 (→因数分解 )

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