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Prime factorization of 1000 is
2 x 2 x 2 x 5 x 5 x 5

The only way to get 2 positive integers out of these factors that aren't multiples of 10 would be

{2 x 2 x 2} and {5 x 5 x 5}
or 8 and 125
So the sum would be 133.

(If we multiplied any other combination of factors, you would get a multiple of 10 due to the 5 x 2 term...)

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Q: The product of two positive integers is 1000 If neither of the numbers is a multiple of 10 what is their sum?
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What are integer numbers?

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