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Math

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When 14 is divided by 5, the remainder is 4. When 14 is divided by a positive integer n, the remainder is 2. For how many different values of n is this possible.

Is listing it out the only way?

  • Math -

    14/2 =7
    14/3 = 4 2/3 yes
    14/4 = 3 2/4 yes
    14/5 = 2 4/5
    14/6 = 2 2/6 yes
    14/7 = 2
    14/8 = 1 6/8
    14/9 = 1 5/9
    14/10 = 1 4/10
    14/11 = 1 3/10
    14/12 = 1 2/12 yes
    the end
    I got 3

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