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How to find power of non-primes in n!

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Intern
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Joined: 21 Sep 2016
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Location: Saudi Arabia
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How to find power of non-primes in n!  [#permalink]

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New post 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
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Joined: 17 Jul 2017
Posts: 115
Location: India
GMAT 1: 690 Q50 V33
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How to find power of non-primes in n!  [#permalink]

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New post 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.

Some other links below
https://gmatclub.com/forum/find-the-pow ... fl=similar
https://gmatclub.com/forum/everything-a ... ml#p748348
Intern
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Joined: 21 Sep 2016
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Location: Saudi Arabia
Concentration: Finance, Entrepreneurship
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Re: How to find power of non-primes in n!  [#permalink]

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New post 20 Dec 2017, 01:32
1
Thanks! got it. excellent tip!
Manager
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Re: How to find power of non-primes in n!  [#permalink]

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

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New post 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

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Re: How to find power of non-primes in n! &nbs [#permalink] 20 Dec 2017, 08:31
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