If p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3^k is a factor of p?	Choose the correct choice from the following answers.
A) 10	B) 12	C) 14	D) 16	E) 18
32! has 3, 6, 9,....30 as factors, which are 10 multiples of 3.   We need to add 4 more to 10 because of 9, 18, and 27.   The answer is 14.
<result>C</result>
If p is the product of the integers from 1 to 32, inclusive, what is the greatest integer k for which 3^k is a factor of p?