Let R be a commutative ring with identity. We continue our study of factori
zation in commutative rings with zero divisors. In Section 2 we consider in
ert extensions and atomicity. In Section 3 we characterize the atomic rings
in which almost all atoms are prime. In Section 4 we investigate bounded f
actorization rings (BFR's) and U-BFR's, and in Section 5 we study finite fa
ctorization rings (FFR's).