factorization noun3 •The process of creating a list of factors.A fifth-grade class will spend a set number of days on prime factorization and then move on to study greatest common factors — whether or not every student is ready. — 2013 •An expression listing items that, when multiplied together, will produce a desired quantity. •A list of factors.Actual factorizations are now known for every p ≤ 89. — 1991 formsfactorizations