Last visit was: 18 Nov 2025, 14:10 It is currently 18 Nov 2025, 14:10
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Nov 2025
Posts: 105,355
Own Kudos:
778,062
 [2]
Given Kudos: 99,964
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,355
Kudos: 778,062
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Nov 2025
Posts: 105,355
Own Kudos:
Given Kudos: 99,964
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,355
Kudos: 778,062
Kudos
Add Kudos
Bookmarks
Bookmark this Post
General Discussion
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 18 Nov 2025
Posts: 5,793
Own Kudos:
5,508
 [2]
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,793
Kudos: 5,508
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Snehaaaaa
Joined: 09 Mar 2021
Last visit: 13 Feb 2025
Posts: 135
Own Kudos:
429
 [2]
Given Kudos: 161
Location: India
GMAT 1: 640 Q44 V34
GPA: 3.68
GMAT 1: 640 Q44 V34
Posts: 135
Kudos: 429
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
12 Days of Christmas GMAT Competition with Lots of Fun

\(72^4\) has how many positive factors?

A. 5
B. 20
C. 70
D. 96
E. 117




 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 


Explanation-
Factorization of 72--> 2^3 * 3^2
72^4--> 2^12 * 3^8
Positive factors of 72^4--> (12+1) * (8+1) --> 13*9--> 117
Green color- Correct ans is E
User avatar
BLTN
Joined: 25 Aug 2020
Last visit: 19 Dec 2022
Posts: 242
Own Kudos:
255
 [2]
Given Kudos: 216
Posts: 242
Kudos: 255
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
12 Days of Christmas GMAT Competition with Lots of Fun

\(72^4\) has how many positive factors?

A. 5
B. 20
C. 70
D. 96
E. 117






 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 


\(72^4\) is \((9*8)^4\) = \((3^2*2^3)^4\) = (3)^8*(2)^12
# of factors = # of Exponent+1 = (12+1)*(8+1)=117
User avatar
NischalSR
Joined: 14 Apr 2020
Last visit: 23 Sep 2022
Posts: 37
Own Kudos:
38
 [2]
Given Kudos: 829
Location: India
Posts: 37
Kudos: 38
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Factorizing 72^(4) = 9^(4)*8^(4) = 3^(8)*2^(12)
So, #factors = (8+1)*(12+1) = 117
User avatar
NirupaD
Joined: 15 Oct 2019
Last visit: 11 Jul 2024
Posts: 69
Own Kudos:
48
 [3]
Given Kudos: 81
Products:
Posts: 69
Kudos: 48
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\(72^4\) has how many positive factors?

\(72^4\) = \((2^3 * 3^2)^4\) = \(2^(12)\) * \(3^8\)

Factors =multiplication of prime factor power +1
= 13*9=117
User avatar
sanjitscorps18
Joined: 26 Jan 2019
Last visit: 18 Nov 2025
Posts: 635
Own Kudos:
623
 [2]
Given Kudos: 128
Location: India
Schools: IMD'26
Products:
Schools: IMD'26
Posts: 635
Kudos: 623
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
12 Days of Christmas GMAT Competition with Lots of Fun

\(72^4\) has how many positive factors?

A. 5
B. 20
C. 70
D. 96
E. 117




 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 


Factorizing \(72^4\) we get 2^(3*4) * 3^(2*4)
=> 2^12 * 3^8
Number of factors would be (12+1)(8+1) = 13 x 9 = 117

Option E
Moderators:
Math Expert
105355 posts
Tuck School Moderator
805 posts