请教一道数学题

 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