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When finding the factors of a number, you want all the factors, not just the prime factors. One way to find hem is to start with 1 and write out all the factor pairs of 56:

1 x 56

2 x 28

4 x 14

7 x 8

The factors of 56 are 1, 2 4 7, 8, 14, 28, and 56.

To find the prime factorization of 56, start with a pair of numbers that when multiplied together equal 56. For example, 2 x 28. Keep factoring the composite number(s) until all factors are prime. Example:

2 x 28

2 x 2 x 14

2 x 2 x 2 x 7

All factors are prime, so 2 x 2 x 2 x 7 is the prime factorization of 56.

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Q: How is finding the factors of 56 different from writing 56 as a product of its prime factors?
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