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IF n = 100! x 100!, what is the largest value of prime numbe

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IF n = 100! x 100!, what is the largest value of prime numbe [#permalink] New post 26 Oct 2017, 02:24
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Question Stats:

50% (02:06) correct 50% (03:55) wrong based on 2 sessions
IF n = 100! x 100!, what is the largest value of prime number t, such that n/t is an integer?

A. 7
B. 19
C. 97
D. 99
E. 101

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[Reveal] Spoiler: OA
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Re: IF n = 100! x 100!, what is the largest value of prime numbe [#permalink] New post 26 Oct 2017, 04:33
If we multiply 100! by 100! we get all the numbers from 1 to 100 twice so that in order to get an integer 100!*100! must be divided by a number between 1 and 100 or a number resulting from the multiplication of some of them.

Since we are asked about the highest prime number, we should start checking answers from E.

- 101 is not between 1 and 100 and it cannot be computed as the product of some numbers between them.
- 99 is not prime since it is divisible also by 9
- 97 is prime and it is between 1 and 100. That's our choice

Answer C
Re: IF n = 100! x 100!, what is the largest value of prime numbe   [#permalink] 26 Oct 2017, 04:33
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IF n = 100! x 100!, what is the largest value of prime numbe

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