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Math Help - fenders

  1. #1
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    fenders

    choose a number say 156
    its factors are 1,2,3,4,6,12,13,26,39,52,156
    grouped by last digit (1) (2,12,52) (3,13) (4) (6,26,156) (78) (39)

    We say the FENDERS (factor enders) of 156 are 1,2,3,4,6,8,9 &that 156 is a 7-fender (it has seven fenders)
    A) Show that a number which has 0 & 9 as fenders has at least four more fenders.
    B) Find 3 9-fenders less than 1000 with different sets of fenders?
    I know 900 is one(0,1,2,3,4,5,6,8,9) & 420 is another (0,1,2,3,4,5,6,7,8) but can't find another?
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  2. #2
    MHF Contributor Quick's Avatar
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    This strange and agruably pointless problem has already been answered here .

    Also...

    (B) 630 (0,1,2,3,5,6,7,8,9)
    Last edited by Quick; June 24th 2006 at 04:50 PM.
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  3. #3
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    fenders

    Quote Originally Posted by Quick
    This strange and agruably pointless problem has already been answered here .

    Also...

    (B) 630 (0,1,2,3,5,6,7,8,9)
    630 is a 10 fender (45*14) so still need help
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  4. #4
    Super Member malaygoel's Avatar
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    Quote Originally Posted by Quick
    This strange and agruably pointless problem has already been answered here .

    Also...

    (B) 630 (0,1,2,3,5,6,7,8,9)
    Help, how 630 is a 8 fender?

    KeepSmiling
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  5. #5
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    Quote Originally Posted by malaygoel
    Help, how 630 is a 8 fender?

    KeepSmiling
    Malay
    35*18 gives 630
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  6. #6
    Super Member malaygoel's Avatar
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    Quote Originally Posted by bardo
    B) Find 3 9-fenders less than 1000 with different sets of fenders?
    I know 900 is one(0,1,2,3,4,5,6,8,9) & 420 is another (0,1,2,3,4,5,6,7,8) but can't find another?
    It is 270(0,1,2,3,5,6,7,8,9)
    KeepSmiling
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  7. #7
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by malaygoel
    It is 270(0,1,2,3,5,6,7,8,9)
    KeepSmiling
    Malay
    Nope... 54\times5=270

    There must be some sort of method we are missing, surely a teacher wouldn't make you guess and pick.
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  8. #8
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    Quote Originally Posted by Quick
    Nope... 54\times5=270

    There must be some sort of method we are missing, surely a teacher wouldn't make you guess and pick.
    980 is the other 9 fender with 0,1,2,4,5,6,7,8,9
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  9. #9
    Grand Panjandrum
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    Already discussed here

    RonL
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  10. #10
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by CaptainBlack
    Already discussed here

    RonL
    Question B) wasn't answered in that post
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