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# The number 10^30 is divisible by all of the following EXCEPT

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Manager
Joined: 18 Jan 2007
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The number 10^30 is divisible by all of the following EXCEPT [#permalink]  06 Sep 2007, 11:39
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The number 10^30 is divisible by all of the following EXCEPT
a) 250
b) 125
c) 32
d) 16
e) 6
VP
Joined: 10 Jun 2007
Posts: 1465
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Re: PS - Factors [#permalink]  06 Sep 2007, 11:47
dr908 wrote:
The number 10^30 is divisible by all of the following EXCEPT
a) 250
b) 125
c) 32
d) 16
e) 6

E

A. 250 = 5*5*5*2, divisible
B. 125 = 5*5*5, divisible
C. 32 = 2*2*2*2*2, divisible
D. 16 = 2*2*2*2, divisible
E. 6 = 2*3, 3 is not divisible
Manager
Joined: 29 Aug 2007
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All the options except E have common primes.

Director
Joined: 22 Aug 2007
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Re: PS - Factors [#permalink]  07 Sep 2007, 07:27
dr908 wrote:
The number 10^30 is divisible by all of the following EXCEPT
a) 250
b) 125
c) 32
d) 16
e) 6

Another for E

Prime factors of 6 are 3 and 2
Prime factors of 10 are 2 and 5

Whatever the 10 is power to it can not be devided by 6, cuz 5 is not divisible by 3.
Re: PS - Factors   [#permalink] 07 Sep 2007, 07:27
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