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Factors and Divisibility Question

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by kimistremmings » Mon Feb 27, 2012 7:41 am
Can someone please help me think through how to answer this question? Thanks!

If P is the product of the integers from 1 to 30 inclusive, what is the greatest integer K for which 3^k is a factor of P?

A. 10
B. 12
C. 14
D. 16
E. 18

Correct answer is C
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