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# Which one of the following numbers is the greatest positive

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Joined: 24 Apr 2013
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Which one of the following numbers is the greatest positive [#permalink]  12 May 2013, 09:38
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:23) correct 5% (01:00) wrong based on 39 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.
Manager
Status: *Lost and found*
Joined: 25 Feb 2013
Posts: 123
Location: India
Concentration: General Management, Technology
GMAT 1: 640 Q42 V37
GPA: 3.5
WE: Web Development (Computer Software)
Followers: 15

Kudos [?]: 82 [0], given: 14

Re: help please! i don't understand this. [#permalink]  12 May 2013, 09:44
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?

For the above question, as the solution states $$27^5 = 3^15$$
Now $$3^x$$ being a factor of$$3^15$$ 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!

Regards,
Arpan
_________________

Feed me some KUDOS! *always hungry*

Re: help please! i don't understand this.   [#permalink] 12 May 2013, 09:44
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