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# How many of the positive divisors of 192 are also multiples

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Senior Manager
Joined: 24 Feb 2008
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How many of the positive divisors of 192 are also multiples [#permalink]

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10 May 2008, 13:07
00:00

Difficulty:

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Question Stats:

100% (00:02) correct 0% (00:00) wrong based on 2 sessions

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How many of the positive divisors of 192 are also multiples of 6?

A. 4
B. 6
C. 8
D. 10
E. 12

time limit: 2min
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Best AWA guide here: http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html

Kudos [?]: 3667 [0], given: 2

SVP
Joined: 28 Dec 2005
Posts: 1543

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10 May 2008, 13:23
i got 6 as well

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Manager
Joined: 16 Sep 2007
Posts: 215

Kudos [?]: 12 [0], given: 0

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10 May 2008, 13:44
192
96
48
24
12
6
3

3 is not divisible by 6, the rest are. (to be divisible by 6 the divisor must have 2 and 3 as factors)
B

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Manager
Joined: 27 Jun 2007
Posts: 198

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10 May 2008, 14:41
chineseburned wrote:
How many of the positive divisors of 192 are also multiples of 6?

A. 4
B. 6
C. 8
D. 10
E. 12

time limit: 2min

192
192 / 2 = 96
96 / 2 = 48
48 / 2 = 24
24 / 2 = 12
12 / 2 = 6
6 / 2 = 3
and 2

B.

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Current Student
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19 May 2008, 13:21
whats a short way of doing this?

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Senior Manager
Joined: 19 Apr 2008
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19 May 2008, 13:30
fresinha12 wrote:
whats a short way of doing this?

I think gmatnub has given quick method , I like that.

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Manager
Joined: 24 Apr 2008
Posts: 161

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22 May 2008, 05:07
Ans: B (30 sec)

Quickly identify that 192 = 6 X 2^5

so values are 6X1, 6X2, 6X2^2 .....6X2^5 so in total 6 values

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Re: PS: positive divisors   [#permalink] 22 May 2008, 05:07
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