快考了 请帮忙解答一下这道题

7.       905-!-item-!-187;#058&000575

For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive.  If p is the smallest prime factor of h(100) + 1, then p is

(A) between 2 and 10

(B) between 10 and 20

(C) between 20 and 30

(D) between 30 and 40

(E) greater than 40

选E

2×4×……×100化简为2（1×2×3×4×。。。。×50）

所以h（100）+1用小于50的任何数字去除，都会有余数1

因此，这个factor必定大于40