how many perfect squares less than 1000 are divisible by 8?

please answer w/ respect!!!!!!!!!!!!!!!!!!!!!

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  • 1 decade ago
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    1 • 4 • 16 • 25 • 36 • 49 • 64 • 81 • 100 • 121 • 144 • 169 • 196 • 225 • 256 • 289 • 324 • 361 • 400 • 441 • 484 • 529 • 576 • 625 • 676 • 729 • 784 • 841 • 900 • 961

    Eliminate odd numbers (8 times anything will give you an even)

    1 • 4 • 16 • 36 • 64 • 100 • 144 • 196 • 256 • 324 • 400 • 484 • 576 • 676 • 784 • 900

    Now, I just divided those numbers by 8 and wrote down which ones came out evenly

    64 (8x8)

    144 (8x18)

    256 (8x32)

    400 (8x50)

    576 (8x72)

    784 (8x98)

  • 1 decade ago

    There are only 31 perfect squares to consider. You should be able to count the ones divisible by 8 in just a couple minutes.

    Hint: Don't try any odd numbers. That immediately eliminates half the possibilities.

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