I want to find the 3 positive integer factors of a given positive integer $x$, such as
$a \cdot b \cdot c = x$
What can I say in what integer number range $a$ and $b$ must be in? (Of course, $c$ is the result of $x/(a \cdot b)$)
I.e. when looking for $a \cdot b = c$ for given $c$, it is clear that $1 \leqslant a \leqslant \sqrt c$.
But where do I have to look for $a$ and $b$ (for a given $x$)?
Thanks!