For every positive integers 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

1 between 2 and 10
2 between 10 and 20
3 between 20 and 30
4 between 30 and 40
5 greater that 40

OA is E