Exact Science - Problem of The Day - 16

16

Express 203 as the sum of distinct natural numbers whose product is also 203.

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Answer

203 = 7 x 29 x 1 x 1 x 1 x ... x 1 x 1

203 = 7 + 29 + (1 + 1 + 1 + ... + 1 + 1) <- 167 times

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SOLUTIOn

To express 203 as the sum of distinct natural numbers whose product is also 203, we can break down 203 into its prime factors:

203=7×29

Now, when we got a prime factorization of this number we should fill the rest with ones to get these equations:

203 = 7 x 29 x 1 x 1 x 1 x ... x 1 x 1

203 = 7 + 29 + (1 + 1 + 1 + ... + 1 + 1) <- 167 times

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