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In how many ways can N! be written as the product of 2 integers?

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Joined: 10 Jun 2016
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Kudos [?]: 3 [0], given: 9

Location: India
Concentration: Operations, International Business
In how many ways can N! be written as the product of 2 integers? [#permalink]

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New post 29 Aug 2017, 21:38
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In how many ways can N! be written as the product of 2 integers?
1. The number N! Has 30 factors
2. The highest power of 3 in N! is 4
[Reveal] Spoiler: OA

Kudos [?]: 3 [0], given: 9

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Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128966 [0], given: 12185

Re: In how many ways can N! be written as the product of 2 integers? [#permalink]

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New post 29 Aug 2017, 21:48
gmatsam123 wrote:
In how many ways can N! be written as the product of 2 integers?
1. The number N! Has 30 factors
2. The highest power of 3 in N! is 4


Not a good question. It should be mentioned that N is a positive integer.

On this subject, you can study theory and practice quality question from the links below:

5. Divisibility/Multiples/Factors



8. Exponents and Roots of Numbers



Hope it helps.
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Kudos [?]: 128966 [0], given: 12185

Re: In how many ways can N! be written as the product of 2 integers?   [#permalink] 29 Aug 2017, 21:48
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In how many ways can N! be written as the product of 2 integers?

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