This book chronicles the development of graph factors and factorizations. It pursues a
comprehensive approach addressing most of the important results from hundreds of findings over
the last century. One of the main themes is the observation that many theorems can be proved
using only a few standard proof techniques. This stands in marked contrast to the seemingly
countless complex proof techniques offered by the extant body of papers and books. In addition
to covering the history and development of this area the book offers conjectures and discusses
open problems. It also includes numerous explanatory figures that enable readers to
progressively and intuitively understand the most important notions and proofs in the area of
factors and factorization.