Prime Factorization Calculator

Enter integer.
Math

Calculate prime factorization with explicit inputs and a worked example.

Formula

Repeatedly divide by prime factors up to the square root of the remainder.

Example Calculation

Example inputs
  • Integer: 360

360 = 2³ × 3² × 5.

Frequently asked questions

How do I use this calculator?

Enter integer. The result updates automatically. Use Reset to restore the example values.

What method does it use?

Repeatedly divide by prime factors up to the square root of the remainder.. Follow the units and definitions shown with the inputs to apply this relationship consistently.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.