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Number Properties, Divisors

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Number Properties, Divisors [#permalink] New post 06 Oct 2009, 03:46
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50% (02:53) correct 50% (02:26) wrong based on 0 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

Please help solve, also what level question do you think this is?

Last edited by yangsta8 on 06 Oct 2009, 15:24, edited 2 times in total.
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 07:55
seems to be an error in the question
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 14:35
Sorry, have fixed it now

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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 15:15
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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
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Re: Number Properties, Divisors [#permalink] New post 06 Oct 2009, 15:26
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Bunuel wrote:
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, 17:19
Thanks Bunnel! +1 Kudos for you!
Re: Number Properties, Divisors   [#permalink] 06 Oct 2009, 17:19
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