Factoring Calculator
Enter whole-number coefficients from the highest power down.
This result is an estimate only. Double-check important figures before relying on them.
How it is calculated
- Possible roots are ±(factor of the constant) ÷ (factor of the leading coefficient)
- Each root r gives a factor (x − r); divide it out and repeat
To see all roots including complex ones, use the polynomial roots calculator.
Worked example
x³ − 6x² + 11x − 6:
- Roots 1, 2, 3
- (x − 1)(x − 2)(x − 3)
Why your number may differ
Roots that are irrational or complex stay together in an unfactored bracket. The result is exact, not rounded.
Frequently asked questions
How does it find factors?
It tests every possible rational root using the rational root theorem, divides each one out, and repeats.
What does an unfactored bracket mean?
What remains has no rational roots. A degree 4 or higher remainder might still split into quadratics, which this tool does not search for.
Why whole numbers only?
The rational root theorem needs integer coefficients. Multiply through by a common denominator first.