GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jan 2019, 02:22

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# How many positive factors does positive integer N have? 1) N^2 has

Author Message
TAGS:

### Hide Tags

Current Student
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

10 Jan 2017, 05:46
3
00:00

Difficulty:

75% (hard)

Question Stats:

32% (01:31) correct 68% (01:33) wrong based on 94 sessions

### HideShow timer Statistics

How many positive factors does positive integer $$N$$ have?
1) $$N^2$$ has three positive factors
2) $$2N$$ has four positive factors

Source-> Magoosh

_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Intern
Joined: 10 Dec 2016
Posts: 3
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

10 Jan 2017, 07:09
Statement 1 : N² has three factors

Any N² has more than three factors (N, N² and 1) only when N has other factors than N and 1 thus only when N is not a prime. So statement 1 is basically telling us that N IS a prime.
Sufficient.

Statement 2 : 2N has 4 factors

Any 2N has more than 4 factors ( 2N, N, 1, 2 ) only when N has other factors than N and 1 thus only when N is not a prime. So statement 2 is basically telling us that N IS a prime.
Sufficient.

Current Student
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

10 Jan 2017, 19:22
LamyaaBezoui wrote:
Statement 1 : N² has three factors

Any N² has more than three factors (N, N² and 1) only when N has other factors than N and 1 thus only when N is not a prime. So statement 1 is basically telling us that N IS a prime.
Sufficient.

Statement 2 : 2N has 4 factors

Any 2N has more than 4 factors ( 2N, N, 1, 2 ) only when N has other factors than N and 1 thus only when N is not a prime. So statement 2 is basically telling us that N IS a prime.
Sufficient.

Highlighted portion is incorrect.
What if N=2^2?

Regards
Stone Cold

_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Current Student
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

10 Jan 2017, 19:26
1
1
Here is what i did in this one->

We are asked about the number of factors of a positive integer N.

Statement 1->
$$N^2$$ has 3 factors
The only way $$N^2$$ can have 3 factors is if N is a prime number.
So $$N$$ must have 2 factors.
Hence Sufficient.
Statement 2->
$$2N$$ has 4 Factors
Two cases are possible.
Case 1=>
$$N$$ is a prime number.=> $$N$$ will have 2 factors
Case 1->
$$N=2^2$$=> $$N$$ will have 3 factors.

Hence Not sufficient.

Hence A.

_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Manager
Joined: 17 May 2015
Posts: 249
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

10 Jan 2017, 20:45
stonecold wrote:
How many positive factors does positive integer $$N$$ have?
1) $$N^2$$ has three positive factors
2) $$2N$$ has four positive factors

Source-> Magoosh

From Statement 1:
It is only possible when N is a prime number, hence sufficient.

From Statment 2 we'll have 2 cases possible:

Case 1: N is a prime number other than 2

Take N = 5, 2N = 10 = 2*5 ==> 2N has 4 factors, and N has 2 factors.

Case 2: N is a non-prime number

Take N = 4 , 2N = 8 = 2^3 => 2N has 4 factors, and N has 3 factors.

So no unique answer is possible. NOT sufficient.

Thanks.
Intern
Joined: 10 Dec 2016
Posts: 3
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

11 Jan 2017, 03:51
stonecold wrote:
LamyaaBezoui wrote:
Statement 1 : N² has three factors

Any N² has more than three factors (N, N² and 1) only when N has other factors than N and 1 thus only when N is not a prime. So statement 1 is basically telling us that N IS a prime.
Sufficient.

Statement 2 : 2N has 4 factors

Any 2N has more than 4 factors ( 2N, N, 1, 2 ) only when N has other factors than N and 1 thus only when N is not a prime. So statement 2 is basically telling us that N IS a prime.
Sufficient.

Highlighted portion is incorrect.
What if N=2^2?

Regards
Stone Cold

Yeah sorry I missed that. Answer is A.
Non-Human User
Joined: 09 Sep 2013
Posts: 9436
Re: How many positive factors does positive integer N have? 1) N^2 has  [#permalink]

### Show Tags

30 Jun 2018, 04:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: How many positive factors does positive integer N have? 1) N^2 has &nbs [#permalink] 30 Jun 2018, 04:36
Display posts from previous: Sort by