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Q: Why would you determine the prime factorization of only composite numbers?

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Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.

No, prime factorizations consist entirely of prime numbers.

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

No. Prime numbers are already prime. Every composite number has a prime factorization.

the prime factorization

It normally refers to composite numbers

Prime factorization is writing a composite number as a product of prime numbers.

All composite numbers do. All prime numbers are already prime.

A prime factorization

finding the prime factors of a composite number

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.

Not necessarily. The prime factorization of the composite number 10 is 2 x 5. Composite numbers have three or more factors.

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