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If you know the prime factorization of a number, you can tell how many factors it has.

Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.

10 = 2 x 5 = 21 x 51

2 x 2 = 4

10 has four factors.

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Q: Can you tell when you have all of the factors for a number before you have built every possible array explain?
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