January 15, 2019 January 15, 2019 10:00 PM PST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52108

For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
11 Mar 2014, 02:20
Question Stats:
80% (01:26) correct 20% (01:37) wrong based on 965 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionFor every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ? (A) 23 (B) 19 (C) 17 (D) 13 (E) 11 Problem Solving Question: 149 Category: Arithmetic Properties of numbers Page: 81 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Math Expert
Joined: 02 Sep 2009
Posts: 52108

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
11 Mar 2014, 02:24




SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1823
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
11 Mar 2014, 19:21
Answer = (E) 11 f(24) = 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 22 x 24 22 = 2 * 11 So 11 is the largest prime factor, Answer = E
_________________
Kindly press "+1 Kudos" to appreciate




Director
Joined: 25 Apr 2012
Posts: 683
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
11 Mar 2014, 03:38
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ? (A) 23 (B) 19 (C) 17 (D) 13 (E) 11 Sol: f(24)= 2*4*6**....*24 or 2^12 (1*2*3*4*5*6....12) The greatest prime factor will be 11 Ans is E
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



Manager
Joined: 01 May 2013
Posts: 61

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
11 Mar 2014, 05:06
All numbers are even. The only even prime is 2. For larger primes, we need a number with an odd factor. Consider 6, 10,...,22. The prime factorization of 22 is 2*11. The answer is E.



Math Expert
Joined: 02 Sep 2009
Posts: 52108

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
15 Mar 2014, 09:25



Manager
Joined: 21 Oct 2013
Posts: 185
Location: Germany
GPA: 3.51

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
25 Jul 2014, 00:33
We have f(24) = 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 22 x 24
Now the greatest prime factor of the product will be the greatest prime factor of one of the numbers above.
22 = 2 x 11 Hence greatest prime factor = 11.
Ans. E



Intern
Joined: 22 Nov 2014
Posts: 4
Location: Bangladesh
Concentration: Entrepreneurship, Marketing
GPA: 3.2

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
24 Jul 2015, 04:57
Very easy,..think simply. The highest number can be divided by a highest prime is 22/11. so 11 is the answer GIve Kudos if you like my solution



Manager
Joined: 09 Aug 2016
Posts: 66

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
27 Jan 2017, 07:07
Bunuel wrote: SOLUTION
For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ?
(A) 23 (B) 19 (C) 17 (D) 13 (E) 11
f(24) = 2*4*6*8*10*12*14*16*18*20*22*24 = 2^12*(1*2*3*4*5*6*7*8*9*10*11) > the greatest prime factor is 11.
Answer: E. Best answer hands down. By the way ... does anybody know what should be the take away message from this question?



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
02 Feb 2017, 11:10
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionFor every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ? (A) 23 (B) 19 (C) 17 (D) 13 (E) 11 We are given that for every even positive integer m, f(m) represents the product of all even integers from 2 to m inclusive. Thus, f(24) = 2 x 4 x 6 x 8 x 10 x 12 x 14 x 16 x 18 x 20 x 22 x 24. If we were to break each value into primes, we would see that the greatest prime factor is contained in 22 (which equals 2 x 11). Thus, the largest prime factor in f(24) is 11. Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Director
Joined: 02 Sep 2016
Posts: 679

For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
Updated on: 03 Apr 2017, 10:34
Check out the options: Whatever the answer is, it should be a multiple of 2. (2* prime no.) (1) 23*2= 46 (out of range) (2) 19*2= 38 (out of range) (3) 17*2= 34 (out of range) (4) 13*2= 26 (out of range) (5) 11*2= 22 (Correct answer)
_________________
Help me make my explanation better by providing a logical feedback.
If you liked the post, HIT KUDOS !!
Don't quit.............Do it.
Originally posted by Shiv2016 on 03 Apr 2017, 06:10.
Last edited by Shiv2016 on 03 Apr 2017, 10:34, edited 2 times in total.



Manager
Joined: 06 Dec 2016
Posts: 248

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
03 Apr 2017, 10:02
My approach:
f(24) = 2 x 4 x 6 x 8 x 10 x12 x 14 x 16 x 18 x 20 x 22 x 24 f(24) = 2 x 2² x2 x 3 x 2³ x 2 x 5 x 2² x 3 x 2 x 7 x 2⁴ x 2 x 3² x 2² x 5 x 2 x 11 x 2³ x 3
Answer is E. 11



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
06 Apr 2017, 09:00
Bunuel wrote: For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ?
(A) 23 (B) 19 (C) 17 (D) 13 (E) 11
We are given that for every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. We need to determine the greatest prime factor of f(24). f(24) = 2 x 4 x 6 x … x 20 x 22 x 24 We see from the even multiples from 2 to 24, that 22 (which is 2 x 11) produces the largest prime factor of 11. Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



NonHuman User
Joined: 09 Sep 2013
Posts: 9400

Re: For every even positive integer m, f(m) represents the produ
[#permalink]
Show Tags
26 Apr 2018, 14:08
Hello from the GMAT Club BumpBot! Thanks to another GMAT 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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: For every even positive integer m, f(m) represents the produ &nbs
[#permalink]
26 Apr 2018, 14:08






