Last visit was: 24 Apr 2026, 10:57 It is currently 24 Apr 2026, 10:57
Home
Messages
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,814
Own Kudos:
811,042
 [26]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,042
 [26]
The "length" of a positive integer greater than 1 is the number of pri 18 Nov 2014, 08:32
2
Kudos
Add Kudos
24
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

69% (01:28) correct 31% (01:27) wrong based on 1435 sessions

History

Date
Time
Result
Not Attempted Yet
The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the length of 20 is 3, because \(2 \times 2 \times 5 = 20\). What is the length of 5,950?

A. 1
B. 2
C. 3
D. 4
E. 5
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
akumar5
User avatar
Joined: 21 Jan 2014
Last visit: 04 Jan 2016
Posts: 53
Own Kudos:
79
 [8]
Given Kudos: 9
WE:General Management (Non-Profit and Government)
Posts: 53
Kudos: 79
 [8]
The "length" of a positive integer greater than 1 is the number of pri 18 Nov 2014, 22:08
5
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
5950=2*5*595
=2*5*5*119
=2*5*5*17*7

so , length is 5

Answer is E
avatar
PareshGmat
avatar
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,531
Own Kudos:
8,274
 [5]
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
Kudos: 8,274
 [5]
The "length" of a positive integer greater than 1 is the number of pri 19 Nov 2014, 00:09
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer = E = 5

\(5950 = 2*5*595\)

\(= 2 * 5 * 5 * 119\)

\(= 2 * 5 * 5 * 7 * 17\)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,814
Own Kudos:
811,042
 [5]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,042
 [5]
The "length" of a positive integer greater than 1 is the number of pri 19 Nov 2014, 07:58
3
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Manhattan Prep Official Solution:

The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the length of 20 is 3, because \(2 \times 2 \times 5 = 20\). What is the length of 5,950?

A. 1
B. 2
C. 3
D. 4
E. 5

In this problem, we should notice that the "length" of an integer is defined in some way involving prime factors. Therefore, even if we are not 100% sure what "length" means, we should factor 5,950 down to its prime factors and examine what we get.

First, it's easy to take out a factor of 10: \(5950 = 10 \times 595\).

10 is very simple to factor: \(10 = 2 \times 5\).

Since 595 ends in 5, we know that 595 is divisible by 5. Actually performing this division, we wind up with \(595 = 5 \times 119\).

So \(5950 = 2 \times 5 \times 5 \times 119\).

Now, 119 "looks" prime, but you must test it with primes up to the square root of 119, which is approximately 11. (If 119 is not prime, then at least one of its prime factors must be smaller than the square root of 119.)

It turns out that 119 is divisible by 7. \(119 = 7 \times 17\).

Thus, we now have the full prime factorization of 5,950: \(5950 = 2 \times 5 \times 5 \times 7 \times 17\).

Finally, we return to the definition of "length." We are given the example that the length of 20 is 3, since \(2 \times 2 \times 5 = 20\). So we can see that "length" is just the number of prime numbers in the prime factorization, counting repeats (such as 2 in the example of 20).

Thus, the length of 5,950 is 5.

Answer: E.
General Discussion
User avatar
DangerPenguin
User avatar
Joined: 10 Sep 2014
Last visit: 22 Dec 2014
Posts: 90
Own Kudos:
123
 [2]
Given Kudos: 25
Posts: 90
Kudos: 123
 [2]
The "length" of a positive integer greater than 1 is the number of pri 18 Nov 2014, 09:04
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
5950
=5x1190
=5x5x238
=5x5x2x118
=5x5x2x2x59

5 prime factors including repeats

Answer E!
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,711
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,711
The "length" of a positive integer greater than 1 is the number of pri 06 Apr 2017, 09:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Number Properties.



The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the length of 20 is 3, because \(2 \times 2 \times 5 = 20\). What is the length of 5,950?

A. 1
B. 2
C. 3
D. 4
E. 5
Show more

Let’s break 5,950 into prime factors.

5,950 = 595 x 10 = 119 x 5 x 5 x 2 = 7 x 17 x 5 x 5 x 2

Thus, the length is 5.

Answer: E
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,814
Own Kudos:
811,042
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,814
Kudos: 811,042
The "length" of a positive integer greater than 1 is the number of pri 27 Jan 2022, 04:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

Tough and Tricky questions: Number Properties.



The "length" of a positive integer greater than 1 is the number of prime numbers, including repeats, that are factors of that integer. For instance, the length of 20 is 3, because \(2 \times 2 \times 5 = 20\). What is the length of 5,950?

A. 1
B. 2
C. 3
D. 4
E. 5

Kudos for a correct solution.
Show more

Questions about the same concept (the length of an integer):

https://gmatclub.com/forum/for-any-posi ... 90320.html
https://gmatclub.com/forum/for-any-posi ... 26368.html
https://gmatclub.com/forum/the-length-o ... 88734.html
https://gmatclub.com/forum/the-length-o ... 32624.html
https://gmatclub.com/forum/for-any-posi ... 40950.html
https://gmatclub.com/forum/for-any-inte ... 08124.html
https://gmatclub.com/forum/what-is-the- ... 32111.html

Hope it helps.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,972
Own Kudos:
1,117
Posts: 38,972
Kudos: 1,117
The "length" of a positive integer greater than 1 is the number of pri 04 Feb 2026, 19:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109814 posts
Krunaal
Tuck School Moderator
853 posts