Last visit was: 20 Sep 2024, 16:56 It is currently 20 Sep 2024, 16:56
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

How many positive divisor of 192 are also multiples of 6

User avatar
FN
Current Student
Joined: 28 Dec 2004
Posts: 1578
Own Kudos [?]: 646 [0]
Given Kudos: 2
Location: New York City
Concentration: Social Enterprise
Schools:Wharton'11 HBS'12
Send PM
How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   19 Feb 2005, 19:43
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
How many positive divisor of 192 are also multiples of 6?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
ywilfred
Joined: 07 Jul 2004
Posts: 1996
Own Kudos [?]: 1938 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   22 Feb 2005, 00:15
192 = 2*96
= 2*3*32
= 2*3*4*8
= 2*2*2*2*2*2*3
= 6(2*2*2*2*2)

Number of multiples: 6
User avatar
lovely_baby
Joined: 19 Nov 2004
Posts: 31
Own Kudos [?]: 9 [0]
Given Kudos: 0
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   22 Feb 2005, 00:51
Do we consider 192 to be divisor of itself, and 6 multiple of 6?
If yes then 6, if no then 4 :roll:
User avatar
twixt
Joined: 31 Aug 2004
Posts: 286
Own Kudos [?]: 355 [0]
Given Kudos: 0
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   22 Feb 2005, 04:31
Lovely : yes we do the answer is 6, best way is ywilfred's method.
User avatar
TS
Joined: 11 Dec 2003
Posts: 33
Own Kudos [?]: 89 [0]
Given Kudos: 0
Location: IN
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   23 Feb 2005, 18:10
ywilfred
192 = 2*96
= 2*3*32
= 2*3*4*8
= 2*2*2*2*2*2*3
= 6(2*2*2*2*2)

Number of multiples: 6


I am missing something here could you please explain how you get
= 6(2*2*2*2*2) ?
isn't it "7" since 2*2*2*2*2*2*3 has "7" positive divisors which are also multiples of 6.

Please explain..... Thanks.
User avatar
ywilfred
Joined: 07 Jul 2004
Posts: 1996
Own Kudos [?]: 1938 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   23 Feb 2005, 20:08
192 can be prime factorized into: 2*2*2*2*2*2*3. But we want to see how many multiples of 6. In order to get see that easily, we can combine one of the 2 and 3 to get a 6.
Thus we have 6(2*2*2*2*2). So now we know there are 5 multiples of 6 (from the five 2s'). But we must also count in the number 6 by itself since that's a multiple of 1.
User avatar
anirban16
Joined: 24 Jan 2005
Posts: 141
Own Kudos [?]: 62 [0]
Given Kudos: 0
Location: Boston
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   25 Feb 2005, 13:53
Yup 6 it is same way just do prime factorization.
User avatar
anirban16
Joined: 24 Jan 2005
Posts: 141
Own Kudos [?]: 62 [0]
Given Kudos: 0
Location: Boston
Send PM
Re: How many positive divisor of 192 are also multiples of 6 [#permalink] How many positive divisor of 192 are also multiples of 6   25 Feb 2005, 13:54
Do you know any even number greater than 2 can be written as the sum of two prime numbers (same or different)



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: How many positive divisor of 192 are also multiples of 6 [#permalink]
25 Feb 2005, 13:54
Moderators:
Bunuel
Math Expert
95691 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3127 posts