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# If n is a non-negative integer such that 12n is a divisor of

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Joined: 04 Jun 2007
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If n is a non-negative integer such that 12n is a divisor of [#permalink]

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24 Sep 2007, 08:36
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If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 – 12n ?
- 11
- 1
0
1
11
*no worries- figured it out, its -1*

Last edited by r019h on 24 Sep 2007, 13:17, edited 2 times in total.
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Kudos [?]: 420 [1] , given: 0

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25 Sep 2007, 18:18
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r019h wrote:
If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 – 12n ?
- 11
- 1
0
1
11
*no worries- figured it out, its -1*

Since 3,176,793 must be divisible by 12^n. It must also be divisible by 12.

Since 3176793 isn't divisible by 12. Then n can only equal 0. b/c 12^0 =1, which is a factor of 3176793.

So the value of n ^12-12n then equals 0^12 -12^0 ----> -1.

B.
Re: MGMAT PS   [#permalink] 25 Sep 2007, 18:18
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