26. Let $N$ be the positive integer for which the sum of its two smallest factors is 4 and the sum of its two largest factors is 204 . Find the value of $N$.
26. Answer: 153
Note that 1 is certainly the smallest factor of $N$, so 1 and 3 are the two smallest factors of $N$. Consequently, $N$ and $\frac{N}{3}$ are the two largest factors of $N$. Thus we obtain the equation $N+\frac{N}{3}=204$. Solving the equation gives $N=153$.