Let n be a positive integer. If 1/n has ...

Let n be a positive integer. If `1/n` has a terminating decimal expansion, then which one of the following is true?

A

n is of the form `5^x`, when x is a positive integer .

B

n is of the form `2^y` , where y is non - positive integer.

C

n is of the form `2^x . 5^y` for some non - negative integers x and y.

D

n is of the form `10^z` for some positive integer z .

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The correct Answer is:

C

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