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Number Properties, Divisors

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Senior Manager
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Number Properties, Divisors [#permalink]  06 Oct 2009, 02:46
00:00

Difficulty:

5% (low)

Question Stats:

50% (02:53) correct 50% (02:26) wrong based on 2 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

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

Posted from my mobile device
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Re: Number Properties, Divisors [#permalink]  06 Oct 2009, 14:15
1
KUDOS
Expert's post
yangsta8 wrote:
Sorry, have fixed it now

Posted from my mobile device

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
_________________
Senior Manager
Joined: 31 Aug 2009
Posts: 424
Location: Sydney, Australia
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Re: Number Properties, Divisors [#permalink]  06 Oct 2009, 14:26
1
KUDOS
Bunuel wrote:
yangsta8 wrote:
Sorry, have fixed it now

Posted from my mobile device

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.

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Re: Number Properties, Divisors [#permalink]  06 Oct 2009, 16:19
Thanks Bunnel! +1 Kudos for you!
Re: Number Properties, Divisors   [#permalink] 06 Oct 2009, 16:19
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