Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

PS approach

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 287
Joined: Fri Mar 23, 2012 12:33 amFollowed by: 6 members
Location: Pune,India
Thanked: 60 times
by GMAT Kolaveri » Sun Apr 01, 2012 4:58 am
For all positive integers f, f◎ equals the distinct pairs of positive integer factors. For example, 16◎ = 3, since there are three positive integer factor pairs in 16: 1 x 16, 2 x 8, and 4 x 4.

What is the greatest possible value for f◎ if f is less than 100?

My question is how to approach such question. From where does one start?

[spoiler]AO:6[/spoiler]
Regards and Thanks,
Vinoth@GMAT Kolaveri
https://www.facebook.com/GmatKolaveri
https://gmatkolaveri.tumblr.com/

Click the thank you button if you like my reply :)
Top
Join the discussion
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 61
Joined: Mon Jan 18, 2010 11:09 pm
Thanked: 8 times

by Pharo » Sun Apr 01, 2012 5:57 am
I think one way to solve these type of questions is using logic. How can you increase the integer factor pairs? By choosing a number that would be divisible by 2,3,5,7,11 etc; (i.e. the prime numbers). 7 and 11 do not make much sense to me. So I focused on 2,3 and 5. What is a big number that can be divisible by the above three and their multiples? 90 or 60. I started with 60.

1x60
2x30
3x20
4x15
5x12
6x10

6 pairs. Now i thought 90 is bigger! Let's do that too:

1x90
2x45
3x30
5x18
6x15
9x10

6 pairs. Just to make sure; I tried 70:

1x70
2x35
5x14
7x10

4 pairs. So I said the answer is 6 :)

Also, I knew that the Sumerians used a base 60 numerical system since 60 is divisible by many numbers (in those ages where the people did not know much math; this helped them a lot!). That is why i started with 60 instead of 90 :P
Top
Join the discussion