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8 August, 15:57

If n is a positive integer, and 1036 is a factor of 100n, then what is the smallest possible value of n?

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  1. 8 August, 17:37
    0
    Answer: Therefore, the lowest value of n is 259.

    n = 7*37 = 259

    n = 259

    Step-by-step explanation:

    To get the value of n. We need to break them down to their lowest factors.

    Note: they must have common factors, that is all the factors of 1036 must be found in 100n.

    For;

    100n = 2*2*5*5*n

    1036 = 2*2*7*37

    the factors of 1036 that cannot be found in 100 is the least value of n.

    So, 7 and 37 is not a factor of 100

    Therefore, the lowest value of n is;

    n = 7*37 = 259
  2. 8 August, 18:04
    0
    The smallest possible value of n is 259

    Step-by-step explanation:

    When n = 259

    100n = 100*259 = 25900

    25900 : 1036 = 25

    Therefore, 1036 is a factor of 100n when n is 259
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