Define the relation $R$ on the set $S=\{sin{Z}^{+}$:$s20\}$ such that $xRy$ if $x$ and $y$ have the same number of distinct factors. For example, $(2,3)inR$ because $2$ has two distinct factors $(1$ and $2),$ and $3$ also has two distinct factors $(1$ and $3).$ Similarly, $(8,10)inR$ because $8$ and $10$ both have four distinct factors, $(1,2,4,8)$ and $(1,2,5,10)$ respectively.