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

Redeem

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.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 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
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
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
GMATOnDemand Start 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

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

For any integer n greater than 1, factorial denotes the

Expert replies
by AAPL » Fri Feb 15, 2019 6:28 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

e-GMAT

For any integer n greater than 1, factorial denotes the product of all the integers from 1 to n, inclusive. It's given that aa and b are two positive integers such that b>a. What is the total number of factors of the largest number that divides the factorials of both a and b?

1) a is the greatest integer for which 3^a is a factor of the product of integers from 1 to 20, inclusive.
2) b is the largest possible number that divides positive integer n, where n^3 is divisible by 96.

OA A
Join the discussion
Source: — Data Sufficiency |

by deloitte247 » Tue Feb 19, 2019 10:56 am
Given two positive integers a and b such that b > a
Find the total number of factors of the largest number which divides the factorial of both a and b . In other words ; what is the value of a?

Statement 1
a is the greatest integer for which $$3^a$$ is a factor for product of integers from 1 to 20 inclusive.
This is asking for how many 3's we can find in 20!
20/3 = 6 remainder 2
20/9 = 2 remainder 2
6 + 2 = 8 hence, a = 8 as 20! can be divided on 3, hence statement 1 is INSUFFICIENT.

Statement 2
b is the largest possible number that divides positive integer n where $$n^3$$ is divisible by 96.
There was no information on the value of a, hence relationship between a and b cannot be established . Statement 2 is INSUFFICIENT.
Statement 1 alone is SUFFICIENT.

$$answer\ is\ Option\ A$$
Join the discussion