Forgot Password?
 
Links
About Arcadia LSAT Shorthand NotationArcadia Prep's GMAT CourseArcadia Prep's LSAT CourseArcadia Prep's SAT CourseArcadia Prep's GRE CourseThe Simply Brilliant GMAT AppAbout the MCATMCAT Physical and Biological SciencesAbout Arcadia Prep's MCAT CourseTerms of SaleTerms of UseAbout Arcadia Apps
iPhone App Store
GGRE Prep App
GMAT Prep App
LSAT Prep App
LSAT Prep
SAT Prep App
 
Back to Questions

Which one of the following numbers is the greatest positive integer x such ... ...

Which one of the following numbers is the greatest positive integer x such that 3x is a factor of 275?
(A)    5
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set F: Number Theory

Collapse All Subordinate Threads
Image Not Available
 
Replies to This Thread: 1 | ----
 
Posted: 04/02/2013 21:40
Could you break this one down?
Arcadia
Admin
Reply 1 of 1
Replies to This Thread: 0 | ----
 
Posted: 04/04/2013 05:14
Hi Tom,

27 = 3^3, so we replaced 27 with 3^3 and then multiplied the exponents (3 and 5) to get 3^15.

Since we have written 27^5 as product of only 3's (27 = 3^15), we cannot squeeze out any more 3's from 27^5. Hence, x = 15 is the largest possible integer.

Nova Press
Arcadia Prep © 2012.
Contact Arcadia  |  Terms of Use  |  Terms of Sale  |  Change Log-in Info