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Math Help - positive divisors of 192 are also multiples of 6?

  1. #1
    eri
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    positive divisors of 192 are also multiples of 6?

    Hi,
    the question is:
    How many of the positive divisors or 192 are also multiples of 6?
    Please tell me how you figure this out. (the steps)
    Thanks!
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  2. #2
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    Hello, eri!

    Did you do anything yet?
    Or are you waiting for someone to offer a Magic Formula?


    How many of the positive divisors or 192 are also multiples of 6?

    What are the multiples of 6?
    . . Well, they are: .6, 12, 18, 24, 36, 42, 48, 54, . . .

    And which of those are divisors of 192 ?

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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by eri View Post
    Hi,
    the question is:
    How many of the positive divisors or 192 are also multiples of 6?
    Please tell me how you figure this out. (the steps)
    Thanks!
    I found 6, 12, 24, 48, 96 and 192

    I factored 192 into 2 X 2 X 2 X 2 X 2 X 2 x 3 and just multiplied 6 times each group of factors.

    6 X 2
    6 x 4
    6 x 8
    .
    .
    6 X 32
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  4. #4
    eri
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    got to factoring

    Hi masters,
    Before I asked this question, I did factor 192
    but then i didn't know what to do after that.
    thanks for getting me over that "mental block".
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  5. #5
    A riddle wrapped in an enigma
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    Quote Originally Posted by eri View Post
    Hi masters,
    Before I asked this question, I did factor 192
    but then i didn't know what to do after that.
    thanks for getting me over that "mental block".
    You're very welcome. I hate those "mental blocks", too. As I get older, they come more often. Have a great evening.
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