GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 13:15

### 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Which of the following is NOT a factor of the product of the

Author Message
TAGS:

### Hide Tags

Senior Manager
Status: Up again.
Joined: 31 Oct 2010
Posts: 463
Concentration: Strategy, Operations
GMAT 1: 710 Q48 V40
GMAT 2: 740 Q49 V42
Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

14 Aug 2013, 21:06
1
8
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:56) correct 29% (01:49) wrong based on 158 sessions

### HideShow timer Statistics

Which of the following is NOT a factor of the product of the first 50 positive multiples of 4 ?

A. $$17^2$$
B. $$11^4$$
C. $$7^6$$
D. $$47^{12}$$
E. $$2^{124}$$

_________________
My GMAT debrief: http://gmatclub.com/forum/from-620-to-710-my-gmat-journey-114437.html
Director
Joined: 14 Dec 2012
Posts: 703
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

14 Aug 2013, 21:18
2
1
4
gmatpapa wrote:
Which of the following is NOT a factor of the product of the first 50 positive multiples of 4 ?

A. $$17^2$$
B. $$11^4$$
C. $$7^6$$
D. $$47^{12}$$
E. $$2^{124}$$

product of the first 50 positive multiples of 4 = 4*8*12*16*......200 =4^50*(1*2*3......49*50) = 2^100(FACTORIAL 50)

lets check options:

A. $$17^2$$ ==>we need two 17 ==>that can be found in FACTORIAL 50 (17,34)=>factor

B. $$11^4$$ ==>we need four 11==> that can be found in FACTORIAL 50 (11,22,33,44)=>factor

C. $$7^6$$ ==>we need six 7 ==>that can be found in FACTORIAL 50(7,14,21,28,35,42)=>factor

D. $$47^{12}$$==>not a factor since we 47 is a prime and is only 1 time present in factorial 50

E. $$2^{124}$$==>This can be found as we have 2 ^100 and in factorial 50 we have 25 even numbers=>factor

hence D
_________________
When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment
##### General Discussion
Senior Manager
Joined: 10 Jul 2013
Posts: 289
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

15 Aug 2013, 06:08
gmatpapa wrote:
Which of the following is NOT a factor of the product of the first 50 positive multiples of 4 ?

A. $$17^2$$
B. $$11^4$$
C. $$7^6$$
D. $$47^{12}$$
E. $$2^{124}$$

4^50×(1.2.3.4.5.6.7..............................50)

= 4^50 (1.2.3.4.................50)

17^2 = 17 ×17 (we have 17 and 34) so this is a factor.

11× 11× 11× 11 (we have 11,22,33,44) so this is a factor.

7 × 7× 7× 7 ×7 ×7 (we have 7,14,21,28,35,42) so this is a factor.

2^124 = (4)^62 . Now 4^50 / 4^62 = 1/4^12 = 1/(4 . 4 . 4. 4. 4. 4. 4. 4. 4. 4. 4. 4) we have (4,8,12,16,20,24,28,32,36,40,44,48) . so this is also a factor.

These left only one as the guilty and it's 47^12
_________________
Asif vai.....
Current Student
Joined: 12 Aug 2015
Posts: 2567
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

15 Jan 2017, 09:14
Firstly the product of first positive 50 multiples of 4=>
4*1*4*2*4*3*4*4*4*5.....4*50=> 4^50*50!
Secondly notice Option D is 47^2 and 47 is a prime number.
Number of 47's in 4^50*50!=> one
Hence 47^2 will never be its factor.

Hence D.

_________________
Director
Joined: 02 Sep 2016
Posts: 649
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

28 Mar 2017, 09:32
Hi Bunuel
Can you please give your explanation for this question..All the 50 multiples of 4 would be even, then how come 17 is a factor of this product?
_________________
Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.
Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

28 Mar 2017, 11:10
Shiv2016 wrote:
Hi Bunuel
Can you please give your explanation for this question..All the 50 multiples of 4 would be even, then how come 17 is a factor of this product?

My solution would be the same as this one: https://gmatclub.com/forum/which-of-the ... l#p1257006
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 58434
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

28 Mar 2017, 11:32
Shiv2016 wrote:
Hi Bunuel
Can you please give your explanation for this question..All the 50 multiples of 4 would be even, then how come 17 is a factor of this product?

Also, are you saying that even number cannot have an odd factor? It's not true. For example, 4*17 = 68 is even and is a multiple of 17.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: Which of the following is NOT a factor of the product of the  [#permalink]

### Show Tags

06 Feb 2019, 19:39
gmatpapa wrote:
Which of the following is NOT a factor of the product of the first 50 positive multiples of 4 ?

A. $$17^2$$
B. $$11^4$$
C. $$7^6$$
D. $$47^{12}$$
E. $$2^{124}$$

Since the first positive multiple of 4 is 4 and the 50th is 200, we see that in the product of the numbers of:

4 x 8 x 12 x 16…..x 196 x 200, we won’t have 12 factors of 47, and thus, 47^12 is not a factor of the first 50 multiples of 4. (Note: 47 is prime, and in the product 4 x 8 x 12 x 16…..x 196 x 200, there is only one factor of 47, which is in 188.)

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Which of the following is NOT a factor of the product of the   [#permalink] 06 Feb 2019, 19:39
Display posts from previous: Sort by