What is the smallest positive integer n
for which 324 is a factor of 6^n ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
OA is C
for which 324 is a factor of 6^n ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
OA is C
(6^n)/324 = (6^n)/(6^2*9)
Note that for choice A and B, we don't get a whole number integer as an answer so those can automatically be eliminated. However, for choice C, we see that we get 36/9 or 4. This choice makes the most sense.
