prep上的题

for every pisitive even integer n, the function h(n) is designed to be the product of all the even integers from 2 to n, inclusive, if p is the smallest 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

答案是E，请问是怎么做的？