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March 26, 2017

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fill in the missing digits in as many ways as
possible so the number will be divisible by 6.

3_2_

  • Math - ,

    A number is divisible by 6 if it is divisible by 2 AND by 3
    Clearly since the above number is even, it is divisible by 2, so all we have to worry about is the 3
    A number is divisible by 3 if the sum of its digits is divisible by 3.
    So far we have a sum of 5.
    So adding 1 or 4 or 7 would leave the sum divisible by 3

    so the missing digits could be 1, 4, or 7

    (numbers are 312, 342, or 372, check to see if they divide by 6)

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