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# If n is positive integer and the product of all the integers

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Manager
Joined: 19 May 2008
Posts: 163

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Location: Mumbai
If n is positive integer and the product of all the integers [#permalink]

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28 Oct 2008, 23:00
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is positive integer and the product of all the integers from 1 to n, inclusiv, is a multiple of 990, what is the least possible value of n?
A 10
B 11
C 12
D 13
E 14

Kudos [?]: 12 [0], given: 0

SVP
Joined: 29 Aug 2007
Posts: 2472

Kudos [?]: 842 [0], given: 19

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28 Oct 2008, 23:17
tharunv wrote:
If n is positive integer and the product of all the integers from 1 to n, inclusiv, is a multiple of 990, what is the least possible value of n?
A 10
B 11
C 12
D 13
E 14

B. the prime factor of 990 has to be the value of n so that n! is divisible by 990..
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Kudos [?]: 842 [0], given: 19

Re: Quant: Integers   [#permalink] 28 Oct 2008, 23:17
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