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# If n is a positive integer and n^2 is divisible by 72, then

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VP
Joined: 20 Sep 2005
Posts: 1016

Kudos [?]: 38 [0], given: 0

If n is a positive integer and n^2 is divisible by 72, then [#permalink]

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12 Dec 2005, 23:51
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If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is

A. 6
B. 12
C. 24
D. 36
E. 48

Kudos [?]: 38 [0], given: 0

VP
Joined: 20 Sep 2005
Posts: 1016

Kudos [?]: 38 [0], given: 0

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13 Dec 2005, 14:46

Since 72 = 3 * 3 * 8 , why isn't 24 a valid answer if n = 24 ?. n^2 is still divisible by 72.

lhotseface wrote:
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is

A. 6
B. 12
C. 24
D. 36
E. 48

Kudos [?]: 38 [0], given: 0

Re: Divisibility PS   [#permalink] 13 Dec 2005, 14:46
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