• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for $0 Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

## Number properties

This topic has 1 expert reply and 0 member replies

### Top Member

BTGmoderatorRO Moderator
Joined
30 Aug 2017
Posted:
763 messages
Followed by:
6 members

#### Number properties

Sat Sep 16, 2017 11:32 am
If p and q are positive integers, is every factor of p a factor of q?

(1) The product of the prime factors of p is a factor of q.
(2) p is a factor of q.

a. statement 1 and 2 are sufficient
b. Both are not sufficient
c. statement 1 is sufficient while statement 2 is not sufficient
d. statement 1 is not sufficient while statement 2 is sufficient
e. statement 1 is sufficient

OA is d
why is statement not sufficient and how do you arrive at this?

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
1059 messages
Followed by:
22 members
470
Sun Sep 17, 2017 7:58 am
Roland2rule wrote:
If p and q are positive integers, is every factor of p a factor of q?

(1) The product of the prime factors of p is a factor of q.
(2) p is a factor of q.

OA is d
why is statement not sufficient and how do you arrive at this?
The correct answer is B.

Statement 1: The product of the prime factors of p is a factor of q.

Case 1: Say p = 6 and q = 6

Prime factors of p are 2 and 3. The product of 2 and 3 = 6 is a factor of q and all the factors of p are factors of p. The answer is Yes.

Case 2: Say p = 12 and q = 6

Prime factors of p are 2 and 3. The product of 2 and 3 = 6 is a factor of q, but not all factors of p are factors of q (12 is not a factor of q). The answer is No. Insufficient.

Statement 2: p is a factor of q.

Since p is a factor of q , q/p = integer, thus every factor of p will be a factor of q. Sufficient.

The correct answer: B

Hope this helps!

Download free ebook: Manhattan Review GMAT Quantitative Question Bank Guide

-Jay
__________________________________
Manhattan Review GMAT Prep

Locations: New York | Warsaw | Cape Town | Madrid | and many more...

### Top First Responders*

1 GMATGuruNY 72 first replies
2 Rich.C@EMPOWERgma... 45 first replies
3 Brent@GMATPrepNow 43 first replies
4 Jay@ManhattanReview 27 first replies
5 ErikaPrepScholar 9 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 GMATGuruNY

The Princeton Review Teacher

133 posts
2 Rich.C@EMPOWERgma...

EMPOWERgmat

118 posts
3 Jeff@TargetTestPrep

Target Test Prep

105 posts
4 Max@Math Revolution

Math Revolution

93 posts
5 Scott@TargetTestPrep

Target Test Prep

92 posts
See More Top Beat The GMAT Experts