请教Prep的一道数学题，谢谢

3.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

between 2 and 10
between 10 and 20
between 20 and 30
between 30 and 40
greater than 40

我选对了最后一个，但是猜的。

这个数很大，怎知它不会被3或7整除，而落在2-10或其他的空间里呢？

看看这个帖子，会有很多帮助的。

http://forum.chasedream.com/dispbbs.asp?boardID=22&ID=163195&page=1

感谢caesar2005!