For how many positive integer values of n is 3^n a factor of \(15^{15}\)?
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.
+2668 
