For every even integer n, the function h(n) is defined to be the product of all the even numbers from 2 to n. if p is the smallest prime factor h(100) + 1 what is p?

You have two minutes to solve?

Anyone have a short cut for this one? I'm really struggling to see how to do this at all!

Possible Answers Are:

2< p <10

10< p <20

20 < p < 30

30< p <40> 40

The last answer is correct apparently.

> 40