If 3^k is a divisor of the product of all even integers between 2 and 30 (inclusive), what is the maximum value of k?  Choose the correct choice from the following answers.
A) 4	B) 6	C) 10	D) 13	E) 14
since the Q tells us 3k3k is a divisor of the product of all even integers between 2 and 30 (inclusive)   the Q basically asks us power of 3 in the product..   lets see the even multiples of 3 from 2 to 30..   6*12*18*24*30..   3^5(2*4*6*8*10)..   or 3^6*2*4*2*8*10..   ans 6   ANSWER:6
<result>B</result>
If 3^k is a divisor of the product of all even integers between 2 and 30 (inclusive), what is the maximum value of k?