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Prime Factorization

A factorization is prime when all the factors are prime numbers (those which only have itself and 1 as factors).

For example,

2 X 4 and 2 X 2 X 2 are both factorizations of 8. Only 2 X 2 X 2 is a prime factorization because 2 X 4 includes the composite number 4.

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Q: What makes the factorization of a number a prime factorization?
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