Question

Prove that the prime factorisation of a natural number is unique except for the order of factors .

Answer 1

Every composite number can be expressed (factorised ) as a product of primes, and this factorisation is unique, apart from the order in which the prime factors occur. This theorem also says that the prime factorisation of a natural number is unique, except for the order of its factors.

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Answer 2

Answer:

false

Step-by-step explanation:

Hence, the prime factorization of a natural number is unique, except for the order of its prime factors occurrence in the prime factorization of number. Thus, the given statement is false.