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.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
The number of distinct prime factors of 20^6
[#permalink]
02 Feb 2026, 23:59
02 Feb 2026, 23:59
Expert Reply
00:00
Question Stats:
95% (00:59) correct
4% (00:47) wrong based on 22 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The number of distinct prime factors of \(20^6\) |
The number of distinct prime factors of \(32^{10}\) |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: The number of distinct prime factors of 20^6
[#permalink]
15 Feb 2026, 16:41
15 Feb 2026, 16:41
1
A. The number of distinct prime factors of 20**6, needs to first be divided into prime factors. The factors of 20 are (4,5) (2,10) which are both equal to 2**2 * 5. Then we distribute the original exponent of 6, so we get 2**12 * 5**6 = 20**6. We have two distinct prime factors, {2,5}.
B. The number of distinct prime factors of 32**10, must also be divided into prime factors, if you know your powers of 2 then it is noticeably 2**5. However, if you don't just find the simple factors (2,16) (4,8) (8, 4) (16, 2) which all reduce to 2**5. Then we must distribute the original power of 10, making the equation = to 2**50. We have 1 distinct prime factor, {2}.
Therefore, option A is greater.
B. The number of distinct prime factors of 32**10, must also be divided into prime factors, if you know your powers of 2 then it is noticeably 2**5. However, if you don't just find the simple factors (2,16) (4,8) (8, 4) (16, 2) which all reduce to 2**5. Then we must distribute the original power of 10, making the equation = to 2**50. We have 1 distinct prime factor, {2}.
Therefore, option A is greater.
gmatclubot
Re: The number of distinct prime factors of 20^6 [#permalink]
15 Feb 2026, 16:41
Moderators:
