NEW HERE? LEARN MORE
closeclose
Last visit was: 11 May 2024, 16:18 It is currently 11 May 2024, 16:18
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

For how many positive integer values of x is 65/x an integer?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93161
Own Kudos [?]: 622963 [1]
Given Kudos: 81833
Send PM
CAT Tests Forum Quiz Mode
For how many positive integer values of x is 65/x an integer? [#permalink] New post   17 Dec 2018, 01:53
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

65% (00:48) correct 35% (00:39) wrong based on 120 sessions
Hide Show timer Statistics
For how many positive integer values of x is \(\frac{65}{x}\) an integer?

A. 2
B. 3
C. 4
D. 5
E. 6
ShowHide Answer
Official Answer
C
User avatar
P
LeoN88
BSchool Moderator
Joined: 08 Dec 2013
Posts: 686
Own Kudos [?]: 517 [1]
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Send PM
Reviews Badge
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   30 Mar 2020, 19:46
1
Kudos
Bunuel wrote:
For how many positive integer values of x is \(\frac{65}{x}\) an integer?

A. 2
B. 3
C. 4
D. 5
E. 6


Square Root of 65 is approximately 8, so we just have to check numbers/factors less than 8 and more than zero.

1*65
5*13
User avatar
L
Chethan92
Director
Director
Joined: 18 Jul 2018
Posts: 926
Own Kudos [?]: 1297 [0]
Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy and Utilities)
Send PM
Reviews Badge
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   17 Dec 2018, 01:58
1,5,13,65. 4 values.

C is the answer

Posted from my mobile device
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8023
Own Kudos [?]: 4119 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User Forum Quiz Mode
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   17 Dec 2018, 02:57
Bunuel wrote:
For how many positive integer values of x is \(\frac{65}{x}\) an integer?

A. 2
B. 3
C. 4
D. 5
E. 6



65= 5^1 * 13^1
factors would be (1+1)* (1+1)= 2*2 = 4 IMO C
User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1260
Own Kudos [?]: 1163 [0]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   17 Dec 2018, 03:15
Bunuel wrote:
For how many positive integer values of x is \(\frac{65}{x}\) an integer?

A. 2
B. 3
C. 4
D. 5
E. 6


To know the number of factors, we must factorize 65.

\(65 = 5^1*13^1\)\(\)

Total number of factors : (1 + 1 ) ( 1+ 1) = 4.

C is the correct answer.
User avatar
B
irisielee
Intern
Intern
Joined: 02 Mar 2017
Posts: 6
Own Kudos [?]: 0 [0]
Given Kudos: 28
Location: United States
Schools: Cox '19 Jindal '19
GMAT 1: 660 Q55 V50
GPA: 3.65
Send PM
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   31 Dec 2018, 14:09
I like any questions about finding total number of factors for an integer by using something I learnt from probability.
To find total number of factors for an integer n, we need to factorize the number to product of primes.
Let's use 65 as an example here.
65 = 5 * 13
5 can also be written as: 5^1
13 can also be written as 13^1
Now, how many times you can choose 5? It's can be 5^0 or 5^1
There are two options to pick number 13, 13^0 or 13^1
Since these two events are indepent to each other => total ways to pick the number = 2*2 = 4 => total factors of 65.
User avatar
G
laddaboy
Manager
Manager
Joined: 22 May 2015
Posts: 108
Own Kudos [?]: 102 [0]
Given Kudos: 26
Send PM
Re: For how many positive integer values of x is 65/x an integer? [#permalink] New post   31 Dec 2018, 20:43
Basically the prompt is asking us what are the factors of 65.
Rule : For any number 1 and itself are always a factor.

So 1,65,5,13
GMAT Club Bot
gmatclubot
Re: For how many positive integer values of x is 65/x an integer? [#permalink]
31 Dec 2018, 20:43
Moderators:
Bunuel
Math Expert
93161 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions