The product of four different natural numbers is 100. What is the sum of the four numbers?

Solution

Since $$100 = 2^2 \times 5^2$$, the only way of writing 100 as a product of four different natural numbers is $$1 \times 2 \times 5 \times 10$$. Their sum is $$1 + 2 + 5 + 10 = 18$$.

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