New Numbers Problem

Rohit is a maths genius. One day he came across a very old math book found in library. In it there was a problem that starts as: "*Given sum $S$ of $5$ positive integer variables namely $v$, $w$, $x$, $y$ and $z$........*". But the rest of the text was damaged. Thus he formulates a new problem as. As $S$ is the only known value he forms $3$ new variables as follows. - $a = vw \times