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That would be 64 x 64 = 4096

If you know calculus, this is a maxima-minima problem.

X+ Y = 128

Y = 128 - X

PRODUCT = P = XY = X ( 128 -X) = 128X - X^2

Take first derivative with respect to X and set = 0 - that is slope zero where value is either minimum or maximum

dP/dX = 128 - 2X = 0

X = 64

Y = 64

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Q: What is the greatest possible product that can be formed by two positive integers whose sum is 128?
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