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# How to find power of non-primes in n!

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Intern
Joined: 21 Sep 2016
Posts: 5
Location: Saudi Arabia
Concentration: Finance, Entrepreneurship
WE: Corporate Finance (Consumer Electronics)
How to find power of non-primes in n!  [#permalink]

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20 Dec 2017, 01:10
Hi All,

Can anybody tell me how to find power of non-prime factors of n in n! ?

Regards
Umair
Manager
Joined: 17 Jul 2017
Posts: 118
Location: India
GMAT 1: 690 Q50 V33
GMAT 2: 750 Q50 V40
WE: Engineering (Manufacturing)
How to find power of non-primes in n!  [#permalink]

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20 Dec 2017, 01:22
2
Convert the non-prime factors to prime factors. Calculate the power of all individual prime factors. The non prime factor will have the power of the prime with least power.
eg. power of 12 in 15!
12 is 2*2*3
Power of 3 - 6
Power of 2 - 11
Power of 2*2 - 5
So power of 12 would be 5.

https://gmatclub.com/forum/find-the-pow ... fl=similar
https://gmatclub.com/forum/everything-a ... ml#p748348
Intern
Joined: 21 Sep 2016
Posts: 5
Location: Saudi Arabia
Concentration: Finance, Entrepreneurship
WE: Corporate Finance (Consumer Electronics)
Re: How to find power of non-primes in n!  [#permalink]

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20 Dec 2017, 01:32
1
Thanks! got it. excellent tip!
Manager
Joined: 17 Jul 2017
Posts: 118
Location: India
GMAT 1: 690 Q50 V33
GMAT 2: 750 Q50 V40
WE: Engineering (Manufacturing)
Re: How to find power of non-primes in n!  [#permalink]

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20 Dec 2017, 01:34
good to know it helped!
Math Expert
Joined: 02 Sep 2009
Posts: 53865
Re: How to find power of non-primes in n!  [#permalink]

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20 Dec 2017, 08:31
umairsiddiki wrote:
Hi All,

Can anybody tell me how to find power of non-prime factors of n in n! ?

Regards
Umair

Check the posts below:
Everything about Factorials on the GMAT
Power of a Number in a Factorial Problems

For other subjects:
ALL YOU NEED FOR QUANT ! ! !
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Re: How to find power of non-primes in n!   [#permalink] 20 Dec 2017, 08:31
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