It is currently 20 Feb 2018, 13:39

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For how many positive integers is the number of positive divisors

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Retired Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2420
GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
For how many positive integers is the number of positive divisors [#permalink]

Show Tags

New post 23 Apr 2016, 06:11
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (00:37) correct 45% (00:30) wrong based on 74 sessions

HideShow timer Statistics

For how many positive integers is the number of positive divisors equal to the number itself ?
[A] none
[B] one
[C] two
[D] three
[E] cannot be determined
[Reveal] Spoiler: OA

_________________


Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

1 KUDOS received
SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1580
Location: India
Concentration: Strategy, General Management
WE: Analyst (Retail)
GMAT ToolKit User Premium Member CAT Tests
Re: For how many positive integers is the number of positive divisors [#permalink]

Show Tags

New post 23 Apr 2016, 19:29
1
This post received
KUDOS
1 and 2 are the only integers that have the number of positive factors equal to the number itself.

Answer: C
1 KUDOS received
Retired Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2420
GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
For how many positive integers is the number of factors equal to the n [#permalink]

Show Tags

New post 20 Jul 2016, 08:50
1
This post received
KUDOS
For how many positive integers is the number of factors equal to the number itself?
A) one
B) two
C) three
D) four
E) cannot be determined
_________________


Getting into HOLLYWOOD with an MBA

Stone Cold's Mock Tests for GMAT-Quant(700+)

Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 2051
Location: Canada
Re: For how many positive integers is the number of factors equal to the n [#permalink]

Show Tags

New post 20 Jul 2016, 09:05
1
This post received
KUDOS
Expert's post
Top Contributor
stonecold wrote:
For how many positive integers is the number of factors equal to the number itself?
A) one
B) two
C) three
D) four
E) cannot be determined


Start TESTING values.

The factors of 1: {1}. 1 factor. WORKS!
The factors of 2: {1,2}, 2 factors. WORKS!
The factors of 3: {1,3}, 2 factors. Doesn't work
The factors of 4: {1,2,4}, 3 factors. Doesn't work

As we can see, if an integer n has n factors, then the factors of n must be: {1, 2, 3,....., n)
So, we can quickly see that the only positive integers that meet this criterion are 1 and 2

Answer:
[Reveal] Spoiler:
B

_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Director
Director
User avatar
P
Joined: 29 Jun 2017
Posts: 501
GMAT 1: 570 Q49 V19
GPA: 4
WE: Engineering (Transportation)
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: For how many positive integers is the number of positive divisors [#permalink]

Show Tags

New post 14 Aug 2017, 02:37
Clearly C
the 2 numbers are 1 and 2 with same number of positive divisors in number as the integer value itself..

Give kudos and take kudos
_________________

Give Kudos for correct answer and/or if you like the solution.

Re: For how many positive integers is the number of positive divisors   [#permalink] 14 Aug 2017, 02:37
Display posts from previous: Sort by

For how many positive integers is the number of positive divisors

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.