If 175 is a factor of positive integer x, then x must be a multiple of which of the following integers?

Question

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If 175 is a factor of positive integer x, then x must be a multiple of which of the following integers?

A. 2

B. 3

C. 7

D. 20

E. 350

Answer 1

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List out all divisors of 175.  Start by factoring it

175 = 25 * 7 = 5^2 * 7

5^0 * 7^0 = 1

5^1 * 7^0 = 5

5^2 * 7^0 = 25

5^0 * 7^1 = 7

5^1 * 7^1 = 35

5^2 * 7^2 = 175

Which of those numbers is a choice?

Answer 2

 If 175 is a factor of positive integer x, 

 then x must be a multiple of which of the following integers?

 175 = 5^2×7

 Answer choice: E. 350