If p is the product of the integers from 1 to 36, inclusive, what is the greatest integer k for which 3^k is a factor of p?	Choose the correct choice from the following choices:
A) 13	B) 15	C) 17	D) 19	E) 21
36! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.   We need to add 5 more to these 12 because of 9, 18, 27, and 36.   The greatest integer of k is 17.   The answer is 17.
<result>C</result>
If p is the product of the integers from 1 to 36, inclusive, what is the greatest integer k for which 3^k is a factor of p?