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If n is a non-negative integer such that 6^n is a divisor of

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If n is a non-negative integer such that 6^n is a divisor of [#permalink] New post 06 Oct 2009, 02:46
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76% (02:08) correct 24% (01:38) wrong based on 51 sessions
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11
[Reveal] Spoiler: OA

Last edited by yangsta8 on 06 Oct 2009, 14:24, edited 2 times in total.
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 06:55
seems to be an error in the question
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 13:35
Sorry, have fixed it now

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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 14:15
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yangsta8 wrote:
Sorry, have fixed it now

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Was not able to read the Q. Does it states:

"If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6-6^n?"

If so, than it's not hard one.

6^n is a divisor of 5,178,791 --> as far as n is non-negative integer (given) the only value of n is 0 (5,178,791 is not even, thus it can not be divided by 6 in any power but 0)

n=0
0^6-6^0=-1
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 14:26
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yangsta8 wrote:
Sorry, have fixed it now

Posted from my mobile device Image


Was not able to read the Q. Does it states:

"If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6-6^n?"

If so, than it's not hard one.

6^n is a divisor of 5,178,791 --> as far as n is non-negative integer (given) the only value of n is 0 (5,178,791 is not even, thus it can not be divided by 6 in any power but 0)

n=0
0^6-6^0=-1



Apologies... not quite sure what went wrong. Removed the tags ... and yes thats what it asks.

Nice solution. Answer is correct.
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 16:19
Thanks Bunnel! +1 Kudos for you!
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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink] New post 18 Jul 2014, 23:46
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Re: If n is a non-negative integer such that 6^n is a divisor of [#permalink] New post 19 Jul 2014, 01:10
yangsta8 wrote:
If n is a non-negative integer such that 6^n is a divisor of 5,178,791, what is the value of n^6 – 6^n?

A. - 11
B. - 1
C. 0
D. 1
E. 11


Let us say that n = 0 then 6^0 = 1 which is a divisor of any number.

Now the question is asking the value of 0^6 - 6^0 = -1
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Re: If n is a non-negative integer such that 6^n is a divisor of   [#permalink] 19 Jul 2014, 01:10
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