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# Which of the following integers is a divisor of

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Director
Joined: 10 Feb 2006
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Which of the following integers is a divisor of [#permalink]  18 May 2008, 04:47
Which of the following integers is a divisor of $$(15!+13)$$ ?

* 15
* 14
* 13
* 7
* 2
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Director
Joined: 10 Sep 2007
Posts: 949
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Re: Divisors [#permalink]  18 May 2008, 05:21
15! can be expressed as 1*2*3*4*5*6*...13*14*15
When this is added with 13 we have
1*2*3*4*5*6*...13*14*15 + 13
The common factor between both is 13. So term will be divisible by 13.

Re: Divisors   [#permalink] 18 May 2008, 05:21
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