BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

3^n is a factor of 18^15

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

3^n is a factor of 18^15

by sanju09 » Sun Feb 20, 2011 11:24 pm
What is the greatest value of a positive integer n such that 3^n is a factor of 18^15?
(A) 15
(B) 18
(C) 30
(D) 33
(E) 45

ORIGINAL SOURCE OF THIS QUESTION:
https://www.west.net/~stewart/gmat/
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 436
Joined: Tue Feb 08, 2011 3:07 am
Thanked: 72 times
Followed by:6 members

by manpsingh87 » Sun Feb 20, 2011 11:33 pm
sanju09 wrote:What is the greatest value of a positive integer n such that 3^n is a factor of 18^15?
(A) 15
(B) 18
(C) 30
(D) 33
(E) 45
18= 3^2 x 2.
18^15= 3^30 x 2^15.
C..!!!
O Excellence... my search for you is on... you can be far.. but not beyond my reach!
Top
Post new topic Post Reply
• Page 1 of 1