  Shapovalov elements $\theta_{\beta,m}$ are special elements in a Borel
subalgebra of a classical or quantum universal enveloping algebra parameterized
by a positive root $\beta$ and a positive integer $m$. They relate the
canonical generator of a reducible Verma module with highest vectors of its
Verma submodules. For $m=1$, they can be explicitly obtained as matrix elements
of the inverse Shapovalov form. We extend this approach to $m>1$ for all
$\beta$ but three roots in $\mathfrak{g}_2$, $\mathfrak{f}_4$, and
$\mathfrak{e}_8$, presenting $\theta_{\beta,m}$ as a product of matrix elements
of weight $\beta$.
