Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
13
Let the three consecutive odd numbers be \(x-2,\ x,\ x+2\). Their product is
\[(x-2)\,x\,(x+2) = x(x^2-4) = 1287\]
Try \(x=11\): \(11(121-4) = 11 \times 117 = 1287\). So the numbers are 9, 11, 13 and the largest is 13.
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