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Math Help - factors

  1. #1
    Newbie pinky&thebrain's Avatar
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    factors

    Hi,

    This is one of my homework questiosn and I have no idea how to solve it...

    it says: consider m= 2^9 * 17^3 * 67^2. without elaborate calculation, tell which of the following could NOT be factors of m.

    A. 2^8 * 7
    B. 2^10 * 17^2 * 67
    C. 2^8 * 17^2 * 67^2
    D. 34^3
    E. 134^2
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  2. #2
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    Quote Originally Posted by Pinky&The Brain View Post
    Hi,

    This is one of my homework questiosn and I have no idea how to solve it...

    it says: consider m= 2^9 * 17^3 * 67^2. without elaborate calculation, tell which of the following could NOT be factors of m.

    A. 2^8 * 7
    B. 2^10 * 17^2 * 67
    C. 2^8 * 17^2 * 67^2
    D. 34^3
    E. 134^2
    B.
    Because 2^10 and the number is 2^9 it is more than it.
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  3. #3
    Newbie pinky&thebrain's Avatar
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    thanks fpr your help, but i do not understand that technique of how to solve it
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  4. #4
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by Pinky&The Brain View Post
    thanks fpr your help, but i do not understand that technique of how to solve it
    you're not alone
    Last edited by Quick; January 20th 2007 at 12:59 PM.
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Pinky&The Brain View Post
    thanks fpr your help, but i do not understand that technique of how to solve it
    Consider a smaller number, say 12.

    12 = 2^2 * 3

    Is 9 a factor of 12? No. Why not?

    9 = 3^2

    9 contains 2 factors of 3 and 12 contains only 1. Any factor of 12 would have to have at most 2 2's and at most 1 3.

    -Dan
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  6. #6
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by topsquark View Post
    Consider a smaller number, say 12.

    12 = 2^2 * 3

    Is 9 a factor of 12? No. Why not?

    9 = 3^2

    9 contains 2 factors of 3 and 12 contains only 1. Any factor of 12 would have to have at most 2 2's and at most 1 3.

    -Dan
    Now I see, tanx
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  7. #7
    Newbie pinky&thebrain's Avatar
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    thank you very much for your help.... i get it now...
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