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 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 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
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 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.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
05 Oct 2023, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
75% (00:59) correct
25%
(01:39)
wrong
based on 104
sessions
History
Date
Time
Result
Not Attempted Yet
If p is the product of integers from 1 to 15, what is the greatest integer ‘k’ for which 3^k is a factor of p?
A. 4
B. 5
C. 6
D. 7
E. 8
A. 4
B. 5
C. 6
D. 7
E. 8
05 Oct 2023, 02:08
Kudos
Bookmarks
p is 15!.
3^4 is a factor of p meaning p/3^k is an integer
prime factorize 15!
we have 3^6... therefore k=6
---
edit: this is my first time ever posting a reply to a question. Hope I got it right
3^4 is a factor of p meaning p/3^k is an integer
prime factorize 15!
we have 3^6... therefore k=6
---
edit: this is my first time ever posting a reply to a question. Hope I got it right
08 Oct 2023, 11:49
Kudos
Bookmarks
Bunuel
We have to find the greatest possible value of integer k such that:
p/3^k = 15!/3^k = integer
The expression above is an integer if k is not greater than the total number of 3s in the prime factored form of 15!.
We can quickly determine the total number of 3s in 15! with the following technique:
15/3 = 5
5/3 = 1 [Ignore the remainder.]
The total number of 3s is 5 + 1 = 6, so it must be true that:
k ≤ 6
The maximum value of integer k is 6.
Answer: C
