If p is the product of the integers from 1 to 34, 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) 11
B) 13
C) 15
D) 17
E) 19
34! has 3, 6, 9,....30, 33 as factors, which are 11 multiples of 3.   We need to add 4 more to these 11 because of 9, 18, and 27.   The greatest integer of k is 15.   The answer is 15.
<result>C</result>
If p is the product of the integers from 1 to 34, inclusive, what is the greatest integer k for which 3^k is a factor of p?