  In this article, we give explicit formulas for the $p$-adic valuations of the
Fibonomial coefficients ${p^a n \choose n}_F$ for all primes $p$ and positive
integers $a$ and $n$. This is a continuation from our previous article
extending some results in the literature, which deal only with $p = 2,3,5,7$
and $a = 1$. Then we use these formulas to characterize the positive integers
$n$ such that ${pn \choose n}_F$ is divisible by $p$, where $p$ is any prime
which is congruent to $\pm 2 \pmod{5}$.
