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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

If n is a positive integer

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 126
Joined: Wed Jun 24, 2009 1:12 pm
Location: Montreal
Thanked: 2 times
GMAT Score:510
by ssuarezo » Wed Jun 16, 2010 5:26 pm
If n is a positive integer and the product of all the itnegers from 1 to n, inclusive is a multiple of 990, what is the least possible value of n?

10
11
12
13
14

thnx
Silvia
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 294
Joined: Wed May 05, 2010 4:01 am
Location: india
Thanked: 57 times

by amising6 » Wed Jun 16, 2010 5:30 pm
If n is a positive integer and the product of all the itnegers from 1 to n, inclusive is a multiple of 990, what is the least possible value of n?

10
11
12
13
14

990 =9*10*11
so it should contain 9 ,10 and 11
so smallest possible value of n could be 11
(as you can see if you take product from 1 to 11 it will contain 9 ,10,11)
Ideation without execution is delusion
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 126
Joined: Wed Jun 24, 2009 1:12 pm
Location: Montreal
Thanked: 2 times
GMAT Score:510

by ssuarezo » Wed Jun 16, 2010 6:49 pm
amising6 wrote:If n is a positive integer and the product of all the itnegers from 1 to n, inclusive is a multiple of 990, what is the least possible value of n?

10
11
12
13
14

990 =9*10*11
so it should contain 9 ,10 and 11
so smallest possible value of n could be 11
(as you can see if you take product from 1 to 11 it will contain 9 ,10,11)
Ok Amising,

The factors I found for 990 were 5,2,3,3,11, but when I read n is multiple of 990, I thought n should be greater than 990 (like 15 is multiple of 5), and I see you considered this statement as n is a factor of 990 ... am I wrong with concepts?

Thanks,
Silvia
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 294
Joined: Wed May 05, 2010 4:01 am
Location: india
Thanked: 57 times

by amising6 » Wed Jun 16, 2010 7:03 pm
if you take the product of numjbers from 1 to 11
you will get a number much more than 990

product from 1to 11 will be 39916800 which is a multiple of 990
Ideation without execution is delusion
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
GMAT Instructor
Posts: 1302
Joined: Mon Oct 19, 2009 2:13 pmFollowed by: 164 members
Location: Toronto
Thanked: 539 times
GMAT Score:800

by Testluv » Wed Jun 16, 2010 7:03 pm
The question asks for the LEAST possible value of n. Yes, 15 is a multiple of 5, but we would be more interested in 5 being a multiple of 5 in these circumstances.

In this question, the greatest prime factor of 990 is 11, so in order for n to be a multiple of 990, n would have to contain 11 in its prime factorization. Thus, the smallest possible value of n is 11.
Kaplan Teacher in Toronto
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 126
Joined: Wed Jun 24, 2009 1:12 pm
Location: Montreal
Thanked: 2 times
GMAT Score:510

by ssuarezo » Wed Jun 16, 2010 7:16 pm
True guys,
now that i read again, its the prod of 1..n multiple of 990 ...
And it ask for the least possible value of n ...
I already had the answer, and I didn't see it.
Thank u both
Silvia
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1