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

Redeem

7^m is a factor of n/7^2?

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

7^m is a factor of n/7^2?

by sanju09 » Mon Mar 12, 2012 2:33 am
If n is the product of the integers from 1 to 70, inclusive, what is the greatest integer m for which 7^m is a factor of n/7^2?
(A) 2
(B) 7
(C) 9
(D) 11
(E) 14
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 |
Legendary Member
Posts: 581
Joined: Sun Apr 03, 2011 7:53 am
Thanked: 52 times
Followed by:5 members

by killer1387 » Mon Mar 12, 2012 2:55 am
sanju09 wrote:If n is the product of the integers from 1 to 70, inclusive, what is the greatest integer m for which 7^m is a factor of n/7^2?
(A) 2
(B) 7
(C) 9
(D) 11
(E) 14
Total number of 7 in 70!=11
hence n/7^2 has 11-2 =9 7's

option C.
Top
Post new topic Post Reply
• Page 1 of 1