v.1. To reanalyze a situation or problem in order to remove something from consideration: If we factor out personal details, it seems that everyone has the same story. If we factor the bad data out, the results are predictable.
2. Mathematics To rewrite an expression so that something, especially a constant or variable, appearing more than once in the expression appears only once: By factoring the shared terms out of the expression, we can easily solve the equation. The teacher factored out 3x from both sides of the equation 6x^3 + 9x^2 + 12x = 24x.