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3^n is a factor of 18^15

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by sanju09 » Sun Feb 20, 2011 11:24 pm
What is the greatest value of a positive integer n such that 3^n is a factor of 18^15?
(A) 15
(B) 18
(C) 30
(D) 33
(E) 45

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by manpsingh87 » Sun Feb 20, 2011 11:33 pm
sanju09 wrote:What is the greatest value of a positive integer n such that 3^n is a factor of 18^15?
(A) 15
(B) 18
(C) 30
(D) 33
(E) 45
18= 3^2 x 2.
18^15= 3^30 x 2^15.
C..!!!
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