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For how many positive integer values of n is 3^n a factor of \(15^{15}\)?

 Apr 30, 2022
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We can write \(15^{15}\) as \(3^{15} \times 5^{15}\)

 

Thus, n can be anything from 0 up to 15, making for \({16} \) values

 

EDIT: Upon furthur inspection, I found that n can also be 18, making for \(\color{brown}\boxed{17}\) values. 

 Apr 30, 2022
edited by BuilderBoi  Apr 30, 2022

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