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What is the maximum value of m such that 7m divides into 14!
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30 May 2018, 01:45
30 May 2018, 01:45
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Question Stats:
77% (00:18) correct
22% (01:02) wrong based on 9 sessions
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What is the maximum value of m such that 7^m divides into 14! evenly?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Re: What is the maximum value of m such that 7m divides into 14!
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06 Jun 2018, 11:18
06 Jun 2018, 11:18
2
shahul wrote:
What is the maximum value of m such that 7^m divides into 14! evenly?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Note: 7^m divides 14!. Thus we understand that 7^m is basically a factor of 14!.
The you can find out the maximum number of m as a power of 7 as follows:
n/x^1 + n/x^2+......so on...
14/7
=2
m must be 2 as a power of 7.
Hope it clears.
Alternate way:
14!=1*2*3*34*5*6*7*8*9*10*11*12*13*13*14
=1*2*3*4*5*6*7*8*9*10*11*12*13*7*2
= \(7^2\)*1*\(2^2\)*3*4*5*6*8*9*10*11*12*13
So in total we have 2..........7
Re: What is the maximum value of m such that 7m divides into 14!
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07 Apr 2023, 10:06
07 Apr 2023, 10:06
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
