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# For every positive integer n the function h(n) is defined as....

Author Message
Intern
Joined: 01 Dec 2017
Posts: 14
Location: Italy
Schools: IMD Jan'18
GMAT 1: 680 Q46 V38
GPA: 4
For every positive integer n the function h(n) is defined as....  [#permalink]

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09 Dec 2017, 12:18
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (00:00) wrong based on 1 sessions

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Hi all,
I have found the following question on the GMAT prep software (EXAM2) :

"For every positive even integer n the function h(n) is defined as the product of all the positive even integers up to n included. Given the value h(100)+1 with p as its SMALLEST prime factor, p must be:

A. 240

Correct answer was E , but I can't find a reasonable explanation...anyone could help me with this?
It's clear that the number can be represented as 2^50 * 50! +1 , but from here I can't find a way to identify its prime factors.....
Many thanks

Teo

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Math Expert
Joined: 02 Sep 2009
Posts: 52390
Re: For every positive integer n the function h(n) is defined as....  [#permalink]

### Show Tags

09 Dec 2017, 12:43
1
teone83 wrote:
Hi all,
I have found the following question on the GMAT prep software (EXAM2) :

"For every positive even integer n the function h(n) is defined as the product of all the positive even integers up to n included. Given the value h(100)+1 with p as its SMALLEST prime factor, p must be:

A. 240

Correct answer was E , but I can't find a reasonable explanation...anyone could help me with this?
It's clear that the number can be represented as 2^50 * 50! +1 , but from here I can't find a way to identify its prime factors.....
Many thanks

Teo

Discussed here: for-every-positive-even-integer-n-the-function-h-n-is-defined-to-be-212521.html

Hope it helps.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: For every positive integer n the function h(n) is defined as.... &nbs [#permalink] 09 Dec 2017, 12:43
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