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What is the least positive integer that is not a factor of 25! and is

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What is the least positive integer that is not a factor of 25! and is  [#permalink]

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New post 24 Dec 2018, 00:55
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (01:21) correct 30% (00:50) wrong based on 120 sessions

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Math Expert
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Re: What is the least positive integer that is not a factor of 25! and is  [#permalink]

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New post 24 Dec 2018, 01:13
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Re: What is the least positive integer that is not a factor of 25! and is  [#permalink]

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New post 24 Dec 2018, 02:09
1
Bunuel wrote:
What is the least positive integer that is not a factor of 25! and is not a prime number?

A. 26
B. 28
C. 36
D. 56
E. 58



out of given options only option E 58 suffices the relation ; 58= 2*29 so sufficient IMO E
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Re: What is the least positive integer that is not a factor of 25! and is  [#permalink]

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New post 05 Jan 2019, 10:59
1
Bunuel wrote:
What is the least positive integer that is not a factor of 25! and is not a prime number?

A. 26
B. 28
C. 36
D. 56
E. 58


25! = 1*2*3*4....*24*25

Answer choices give us:

26= 2*13
28= 2*2*7
36=2*2*3*3
56=2*2*2*7
58=2*29

We see, that 58 is the only number which is not a prime and also not a factor of 25!
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Re: What is the least positive integer that is not a factor of 25! and is   [#permalink] 05 Jan 2019, 10:59
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What is the least positive integer that is not a factor of 25! and is

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