Question

Find the number of ways in which the number 94864 can be resolved as a product of two factors.

Answer 1

Let $N=94864=2^4{.7}^2{.11}^2$
Clearly $N$ is a perfect square.
Hence required number of ways $=\frac{1}{2}\left[\right(4+1\left)\right(2+1\left)\right(2+1)+1]=23$