377. Divide the given number into two parts so that their product is the greatest possible (solve in an elementary way).
377. Let the number be $N$. If one part is $x$, the other is $N-x$. Their product $x(N-x)$ should be the largest. The question reduces to problem 365. Therefore, $x=\frac{N}{2}$. Verify this with the number 10.