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Which one of the following numbers is the greatest positive

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Which one of the following numbers is the greatest positive [#permalink] New post 12 May 2013, 09:38
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

92% (01:20) correct 8% (01:00) wrong based on 25 sessions
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

(A) 5
(B) 8
(C) 10
(D) 15
(E) 19


[Reveal] Spoiler:
the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 May 2013, 02:51, edited 1 time in total.
Moved to PS forum, renamed the topic and edited the question.
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Re: help please! i don't understand this. [#permalink] New post 12 May 2013, 09:44
basker561 wrote:
I'm new to this site so i'm probably posting in the wrong area. but i have a question that my book gave a horrible explanation on how to solve..

Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 27^5?

the answer is 15 but all it says is 27^5= (3^3)^5 = 3^15 so 15 is the answer..

Can anyone explain this better? Also am i posting in the right area when i have questions like this?


Hi Basker!

For the above question, as the solution states 27^5 = 3^15
Now 3^x being a factor of3^15 i.e 3^x is to divide 3^15 with 0 remainder. If the question simply stated the possible range of x, the answer would be {0...15} The greatest value of the set is 15 and if x > 15, then it wouldn't be a factor anymore, it would become a multiple!

Hope this helps!

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Arpan
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Re: help please! i don't understand this.   [#permalink] 12 May 2013, 09:44
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Which one of the following numbers is the greatest positive

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