Using the Prime Factorization Calculator
Multiply the listed factors to check the result. Prime factorization can also help identify common factors and common multiples when comparing several integers.
Worked example
Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.
Example inputs
- Integer
- 60
Example result
- Prime factors
- 2 × 2 × 3 × 5
Method and assumptions
Whole numbers only. Factors divide a number exactly. LCM(a,b) = a × b / GCF(a,b).
Keep exact values exact
Whole-number problems often need an exact answer rather than a rounded decimal. Check the permitted range and input notation before pasting a large number. A leading minus sign, a decimal point or a base prefix can change whether an entry is valid. Where the tool returns an exact integer or factorization, preserve that form for later calculations.
Common question
Why can the same prime appear repeatedly?
A number can be divisible by a prime more than once. For example, 12 contains two factors of 2 and one of 3, so its factorization is 2 × 2 × 3.
Guide updated .