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Can an integer always be represented through the multiplication of two or more integers? (Are all integers divisible by some set of 2 or more integers (- or +)?)

For example, 8 is can be represented by 1 x 8, 2 x 4 and 2 x 2 x 2. But what about 257 or even - integers?

I'm trying to determine:

1) Can an integer always be represented through the multiplication of two or more integers.

2) If they can - Starting with a given integer, what would be the formula to determine the least amount of integers that multiple up to its value? (e.g. for 8 it's 1 x 8 and 2 x 4 - but what is a formula that could help me determine this?)

TIA

-JP

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# Can an integer always be represented through the multiplication of 2 or more integers

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