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Prime Factorization of 84

No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a Prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.

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Q: Is 7 x 12 the prime factorization of 84?
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