For how many number of positive integers $m$, does there exist at least one positive integer n such

Question

For how many number of positive integers $m$, does there exist at least one positive integer n such that $m \cdot n \leq m+n$ ?

Professor PC Thomas Classes · Answer

Solving $(m-1)(n-1) \le 1$. If $n=1$, statement holds universally true regardless of the choice of $m$.