We say that a Banach space $X$ with a normalized basis $(e_j)$ has the Factorization Property if the identity $I:X\to X$ factors through every operator $T:X\to X$ with a "large diagonal" (i.e. $\infty_n e^*_n(T(e_n))>0$). In my talk I will introduce the notion of Strategically Reproducible Bases, with the help of which we identify new spaces with the factorization property, and provide simplified proofs of the factorization property for spaces, which where already known to have this property. This is joint work with Richard Lechner, Pavlos Motakis, and Paul Müller.