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Math Help - Problem Solving

  1. #1
    hullywully
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    Problem Solving

    A 3x3 square is divided into 9 1x1 unit squares. Different integers from 1 to 9 are written into the squares. Consider pairs of numbers that share a commen edge.
    What is the maximum number of pairs where one number is a factor of the other number?

    Any help with this one would be greatly appreciated!

    I did come up with 8 pairs, but i am not sure if it is correct!

    Cheers
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by hullywully View Post
    A 3x3 square is divided into 9 1x1 unit squares. Different integers from 1 to 9 are written into the squares. Consider pairs of numbers that share a commen edge.
    What is the maximum number of pairs where one number is a factor of the other number?
    Any help with this one would be greatly appreciated!
    I did come up with 8 pairs, but i am not sure if it is correct!
    Cheers
    Hello,

    I'm not sure that I understand your problem correctly. I assume that you want to know "What is the maximum number of pairs where one number is a multiple of the other number?"

    If so:

    1: each other number is a multiple of 1, thus you get 8 pairs
    2: multiples(4, 6, 8) thus 3 pairs
    3: multiples (6, 9), thus 2 pairs
    4: multiple (8), thus 1 pair

    Therefore I got 14 pairs
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