Definition of a factor and factorization Monomial factors, such as the most common and most common ones. Algebraic formulas can be broken down into their parts when each phrase has a common monomial factor. When a binomial is a common factor, algebraic expressions are said to be factorized. Factorization is done by putting the terms into groups. The factorization of a binomial expression is written as the difference between two squares. Factoring is a way to solve binomial equations that can be written as a perfect square. Quadratic polynomials with one variable can be broken down into their factors. Quadratic polynomials can be broken down into their parts by using the method of completing the perfect square.