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Thread: Problem...

  1. Mar 24th, 2007, 12:37 PM #1
    HMSSHM
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    Problem...

    Hello everybody, I'm new, so can you answer me this one?

    How many positive perfect squares less than 10^{6} are multiples of 24?
    Last edited by HMSSHM; Mar 25th, 2007 at 11:48 AM.
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  2. Mar 24th, 2007, 01:59 PM #2
    Logophobic
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    Re: Problem...

    Let's see... 24 = 2^3 * 3, so the smallest perfect square that is a multiple of 24 would have to be 2^4 * 3^2 = 144 = 12^2. That's the first one. The second one would be 12^2 * 2^2...
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