一道prep数学。。。

hollyyao

For every positive even integer n, the funcion 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

the answer is E
求思路

谢谢

xiangyu4255

你想  括号里的100可以写成h（100）=h(1*2*2*2*3*2*4*········*2*50)=h(2^50*1*2*3*4*`````*50)那么1到50都是h（100）的因子 那么h(100)+1就不可能有50以内的因子了呀！所以就是Greater than 40

hollyyao

明白了！谢谢！