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.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
21 Jan 2011, 16:08
Kudos
Bookmarks
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
0% (00:00) correct
0%
(00:00)
wrong
based on 4
sessions
History
Date
Time
Result
Not Attempted Yet
So I was using the flash cards that Dreamy made for Quant, and had a question on the topic
Can you see if I am doing it right?
I made this up, it is not a real problem....
What is the highest power of 6 in 291! ?
by using quotient method this is how i worked:
291/6 = 48
48/6 = 8
8/6 = 1
2/6 =/ anything
48+8+1 = 57
Therefore, there are 57 powers of 6 in 291!?
Did I do this correctly?
Can you see if I am doing it right?
I made this up, it is not a real problem....
What is the highest power of 6 in 291! ?
by using quotient method this is how i worked:
291/6 = 48
48/6 = 8
8/6 = 1
2/6 =/ anything
48+8+1 = 57
Therefore, there are 57 powers of 6 in 291!?
Did I do this correctly?
21 Jan 2011, 17:01
Kudos
Bookmarks
Wishbone
6 is not a prime number. When determining the highest power of non-prime in n! the approach should be slightly different.
Check this:
https://gmatclub.com/forum/everything-ab ... 85592.html (main thread about this issue with examples of determining the highest power of primes as well as non-primes in n!);
Other examples:
https://gmatclub.com/forum/gmat-club-m12-100599.html
https://gmatclub.com/forum/if-n-is-the-p ... 06289.html
https://gmatclub.com/forum/facorial-ps-105746.html
As for your question: what is the highest power of 6 in 291!?
6=2*3 so you'll need as many 3-s as 2-s, so the power of 3 in 291! will determine the highest power of 6 in 291! (as highest power of 3 will be obviously less than the highest power of 2. Or in other words there will be less 3-s than 2-s in 291!, so the power of 3 will be limiting factor): 291/3+291/9+291/27+291/81+291/243=97+32+10+3+1=143 (the formula actually counts the number of factors 3 in 291!, but since there are at least as many factors 2, this is equivalent to the number of factors 6). So the highest power of 6 in 291! is 143.
P.S. I doubt that you'll be asked to determine the highest power of non-prime (except the power of 10) in n! on the GMAT.
General Discussion
21 Jan 2011, 18:12
Kudos
Bookmarks
as soon as i posted this i knew what i did wrong, that's why the example was power of 2 in 25!. must be prime. thanks for clearing that up
