大家好，请教一个prep的题目，不知道如何解析。。。谢谢！

karmen8000

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

fattybabe

E

h(100) = 2^50(1x 2x 3 x 4....x50)
so +1, the prime factor must be over 50