If q 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 q ?  Choose one:	A) 10	B) 12	C) 14	D) 16	E) 18
Answer is C.   numbers in format of 3^k in the series from 1 to 30 inclusive q are: 3*1, 3*2, 3*3, 3*4, 3*5, 3*3*2, 3*7, 3*8, 3*3*3, 3*10. Total number of 3 = 13. So k=14.
<result>C</result>
If q 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 q ?