In discrete mathematics, Graph Theory and Combinatorics are played a very special role when solved many real-world problems. This monograph described a very valuable piece of work on the Factors and Factorizations in Graph Theory. This monograph gives a short survey of the historical background of factors and factorizations. One could get some ideas about factors in graphs and the method of finding them from graphs in detail. So, this monograph can be used by any person who is an undergraduate or researcher to continue their valuable researches. For those who are interested study the factors and factorizations of graphs, this monograph will be guided to continue their studies.