Mathematics & Statistics / Algebra
Factorization Calculator
How to Use
Enter a number to find its factors, or a quadratic expression like "x²+5x+6"
Examples: 24, x²+5x+6, 2x²-8x+6
Factor algebraic expressions and integers to simplify equations, reveal structure, and prepare expressions for solving.
Formula
Common techniques: greatest common factor extraction, grouping, and polynomial factorization identities.
Worked Example
expressionx^2 - 9
Result: (x - 3)(x + 3)This is a difference of squares, so the expression splits into two linear factors around the root magnitude.
Frequently Asked Questions
Why does factoring help when solving equations?
Factoring converts equations into product form, making it easier to apply the zero-product property and find roots.
Can all polynomials be factored over integers?
No. Some require irrational or complex factors, and some are irreducible over integer coefficients.