  Every element $u$ of $[0,1]$ can be written in the form $u=x^2y$, where $x,y$
are elements of the Cantor set $C$. In particular, every real number between
zero and one is the product of three elements of the Cantor set. On the other
hand the set of real numbers $v$ that can be written in the form $v=xy$ with
$x$ and $y$ in $C$ is a closed subset of $[0,1]$ with Lebesgue measure strictly
between $\tfrac{17}{21}$ and $\tfrac89$. We also describe the structure of the
quotient of $C$ by itself, that is, the image of $C\times (C \setminus \{0\})$
under the function $f(x,y) = x/y$.
