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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]  10 May 2008, 12:07
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Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 2 sessions
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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SVP
Joined: 28 Dec 2005
Posts: 1583
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Re: PS: positive divisors [#permalink]  10 May 2008, 12:23
i got 6 as well
Manager
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Re: PS: positive divisors [#permalink]  10 May 2008, 12:44
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
Manager
Joined: 27 Jun 2007
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Re: PS: positive divisors [#permalink]  10 May 2008, 13:41
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.
Current Student
Joined: 28 Dec 2004
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Re: PS: positive divisors [#permalink]  19 May 2008, 12:21
whats a short way of doing this?
Senior Manager
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Re: PS: positive divisors [#permalink]  19 May 2008, 12:30
fresinha12 wrote:
whats a short way of doing this?

I think gmatnub has given quick method , I like that.
Manager
Joined: 24 Apr 2008
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Re: PS: positive divisors [#permalink]  22 May 2008, 04:07
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
Re: PS: positive divisors   [#permalink] 22 May 2008, 04:07
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How many of the positive divisors of 192 are also multiples

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