2008 UNCO Math Contest II Problems/Problem 5

Problem

5. The sum of $400, 3, 500, 800$ and $305$ is $2008$ and the product of these five numbers is $146400000000 = 1464 \times 10^8.$

(a) Determine the largest number which is the product of positive integers whose sum is $2008$ .

(b) Determine the largest number which is the product of positive integers whose sum is $n$ .

2008 UNCO Math Contest II (Problems • Answer Key • Resources)
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