  We study some divisibility properties related to the factors of the
discriminant of the characteristic polynomial of generalized Fibonacci
sequences $(G_n)_{n\ge0}$ defined by $G_0=0$, $G_1=1$ and
$G_n=pG_{n-1}+qG_{n-2}$ for $n\ge2$, where $p,q$ are given integers. As
corollaries, we give some divisibility properties on some well known sequences.
