GMAT PREP I function / prime / product from x to y

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Hi everyone,

Had a little trouble with this question. What's the shortcut for finding the product of all integers from x to y? a brief explanation would be appreciated. thanks!

FYI, I pulled this directly from Zuleron's gmat prep document. The answer is E

104) For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n inclusive. If p is the smallest prime factor of h(100) + 1, then p is between

a. 2 and 10
b. 10 and 20
c. 20 and 30
d. 30 and 40
e. > 40
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by mmslf75 » Tue Jan 05, 2010 10:07 am
pkw209 wrote:Hi everyone,

Had a little trouble with this question. What's the shortcut for finding the product of all integers from x to y? a brief explanation would be appreciated. thanks!

FYI, I pulled this directly from Zuleron's gmat prep document. The answer is E

104) For every positive even integer n, the function h(n) is defined to be the product of all even integers from 2 to n inclusive. If p is the smallest prime factor of h(100) + 1, then p is between

a. 2 and 10
b. 10 and 20
c. 20 and 30
d. 30 and 40
e. > 40

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https://www.beatthegmat.com/tough-prime- ... 25475.html