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

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If n is a positive integer and n^2 is divisible by 72, then [#permalink] New post 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
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Joined: 20 Sep 2005
Posts: 1023
Followers: 3

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Re: Divisibility PS [#permalink] New post 13 Dec 2005, 14:46
Guys, please show work.

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