Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 0212:30 AM EDT
-01:30 AM EDT
Thought your job leaves no time for GMAT prep? After multiple GMAT attempts and a demanding consulting job, Kshitij improved to 695 in under 2 months. Learn the mindset shifts, study strategy, and execution changes that made the breakthrough possible.
Aug 2710:00 AM EDT
-11:00 AM EDT
We’ve worked incredibly hard to build TTP into the best test prep experience possible, and it would mean a lot to us to win Newsweek’s 2026 Readers’ Choice Award for Best Test Prep. If TTP has helped you, we’d be incredibly grateful for your vote.
Sep 0208:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 0301:30 AM EDT
-02:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Sep 0410:00 AM PDT
-11:00 AM PDT
What does test anxiety really look like on the GMAT? For many test takers, it does not look like a panic attack. Instead, it shows up as brain fog, rereading, negative comparisons, mental noise....
Sep 0609:30 AM EDT
-12:30 PM EST
Top scores are possible when you enroll in a powerful EA course, taught live online + 6 months access to TTP OnDemand video courses included! Perfect class schedule and easy course access for working professionals. Class starts Sept. 6, 9:30am-12:30pm EST- Sep 09
07:00 AM PDT
-10:00 AM PDT
Meet AdComs and explore top Master’s programs - MiM, MiF, MSc, MSBA and more. - Application Fee Waivers - Free 1-Week of GMAT Club Tests: - Master's Application Toolkit - Grand Prize Giveaway 
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2108:00 PM EDT
-10:00 PM EDT
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Oct. 13, 2026 - Jan. 7, 2027, 8:00pm-10:00pm EST
08 Aug 2024, 19:15
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:06) correct
38%
(01:46)
wrong
based on 364
sessions
History
Date
Time
Result
Not Attempted Yet
A positive integer N has 27 factors. Which of the following can't be the number of factors of N^2?
A. 53
B. 85
C. 125
D. 144
E. None
A. 53
B. 85
C. 125
D. 144
E. None
Bunuel
To attain the number of factors, we take the power of each prime factor, add one to each, and then take the product of the result.
Ex:
number of factors of 100:
Prime factorization of 100 = 2^2 • 5^2
(2 + 1)(2 + 1) = (3)(3) = 9 factors
We are told that N has 27 factors. This means that the prime factorization of N could be:
x^26 —> (26 + 1) = 27
x^2 • y^8 —> (2 + 1)(8 + 1) = (3)(9) = 27
x^2 • y^2 • z^2 -> (2+1)(2+1)(2+1)=(3)(3)(3)= 27
Number of factors of N^2 could be:
(x^26)^2 = x^52 = (52 + 1) = 53
(x^2 • y^8)^2 = x^4 • y^16 = (4+1)(16 +1) =
(5)(17) = 85
(x^2 • y^2 •z^2)^2 = x^4 • y^4 • z^4 = (4+1)(4+1)(4+1) = (5)(5)(5) = 125
We can eliminate (E) because 53, 85, and 125 can be the number of factors of N^2.
This leaves us with D. 144 cannot be the number of factors of N^2.
IMO Option D
Posted from my mobile device
General Discussion
14 Jan 2025, 18:37
Kudos
Bookmarks
N squared is not prime. Only prime numbers has even factors. So N squared cannot have even factor 144. Ans (D)
