  We prove that there exists an absolute constant $c>0$ such that if an
arithmetic progression $\cP$ modulo a prime number $p$ does not contain zero
and has the cardinality less than $cp$, then it can not be represented as a
product of two subsets of cardinality greater than 1, unless $\cP=-\cP$ or
$\cP=\{-2r,r,4r\}$ for some residue $r$ modulo $p$.
