What is the least number that must be added to2000 so that sum is divisible exactly by 10 12 16 18
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n + 2000 = m
the factor of 10 are 5 * 2, so m must have these numbers as factors
the factor of 12 are 3 * 2 * 2 so m must have these numbers as factors
the factor of 16 are 2 ^ 4 so m must have these numbers as factors
the factor of 18 are 3 * 3 * 2 so m must have these numbers as factors
to recap: m must have as factors at least:
16 * 3 * 3 * 5 = 720
2 * 720 is not big enough
3 * 720 = 2160
n = 160
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