  The aim of this note is a classification of all nice and all inductively
factored reflection arrangements. It turns out that apart from the
supersolvable instances only the monomial groups $G(r,r,3)$ for $r \ge 3$ give
rise to nice reflection arrangements.
  As a consequence of this and of the classification of all inductively free
reflection arrangements from our earlier work, we deduce that the class of all
inductively factored reflection arrangements coincides with the supersolvable
reflection arrangements.
  Moreover, we extend these classifications to hereditarily factored and
hereditarily inductively factored reflection arrangements.
