GRE Prep 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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If the product of all the unique positive divisors of n, a positive in
[#permalink]
06 May 2021, 00:23
06 May 2021, 00:23
Expert Reply
10
Bookmarks
00:00
Question Stats:
28% (02:46) correct
71% (02:17) wrong based on 38 sessions
Hide Show timer Statistics
If the product of all the unique positive divisors of \(n\), a positive integer which is not a perfect cube, is \(n^2\), then the product of all the unique positive divisors of \(n^2\) is
(A) \(n^3\)
(B) \(n^4\)
(C) \(n^6\)
(D) \(n^8\)
(E) \(n^9\)
(A) \(n^3\)
(B) \(n^4\)
(C) \(n^6\)
(D) \(n^8\)
(E) \(n^9\)
Re: If the product of all the unique positive divisors of n, a positive in
[#permalink]
06 May 2021, 09:10
06 May 2021, 09:10
4
Read slowly & Understand the stem.
the product of all the unique positive divisors of \(n\), a positive integer which is not a perfect cube, is \(n^2\)
Take \(n = 6\) (not a perfect cube)
divisors = 1 , 2 , 3 , 6
multiplication = 36 = \(n^2\)
Now all the divisors of 36 = 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 = \(6^9\) = \(n^9\)
Answer E
the product of all the unique positive divisors of \(n\), a positive integer which is not a perfect cube, is \(n^2\)
Take \(n = 6\) (not a perfect cube)
divisors = 1 , 2 , 3 , 6
multiplication = 36 = \(n^2\)
Now all the divisors of 36 = 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 = \(6^9\) = \(n^9\)
Answer E
Re: If the product of all the unique positive divisors of n, a positive in
[#permalink]
27 May 2025, 08:46
27 May 2025, 08:46
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
