AI Math SolverA factor calculator breaks a number or polynomial down into the pieces that multiply together to make it. Type your expression and get the full factorization with a clear, step-by-step explanation.
A factor is a value that divides another exactly, with no remainder. Every composite number and most polynomials can be written as a product of simpler factors, which makes equations easier to solve and expressions easier to simplify.
Common patterns include pulling out the greatest common factor (GCF), recognizing the difference of squares a² − b² = (a − b)(a + b), and factoring trinomials into two binomials. Our solver checks each pattern in order and shows the one that applies.
Factoring rewrites a number or expression as a product. For a number like 12, the factors are 1, 2, 3, 4, 6, and 12. For a polynomial such as x² − 9, factoring gives (x − 3)(x + 3).
Enter the number or polynomial you want to factor. The solver returns the full factorization and, for expressions, shows the step-by-step reasoning so you can follow each move.