A factorization method for a string polynomial called the constant method is proposed. This uses essentially three operations; classification of monomials, gcrd (greatest common right divisor), and lcrm (least common rigth multiple). This method can be applied to string polynomials except that their constants cannot be reduced to zeros by the linear transformation of variables. To factorize such excluded string polynomials, the naive method is also presented, which computes simply coefficients of two factors of a given polynomial, but is not efficient.