Prime Factorization Calculator
Enter an integer ≥ 2 to see its prime factorization, e.g. 60 = 2² × 3 × 5.
Calculator
Use the Prime Factorization Calculator
Result
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Formula
n = p₁^a₁ × p₂^a₂ × …
Step-by-step
- 1
Enter the number
Any integer of 2 or more.
- 2
Read the factors
The result lists each prime and its power.
Worked example
Example input: n: 60
Result: 2² × 3 × 5
Related tools
- Prime Checker
Test whether a number is prime.
- GCF Calculator
Greatest common factor.
Frequently asked questions
What does 60 factor into?
2 x 2 x 3 x 5, displayed as 2-squared times 3 times 5 — matching the example above. Multiplication of those primes reconstructs 60 exactly, which is the test of a correct factor tree.
What does the tool say for the number 1?
That it has no prime factorization, which is the mathematically honest view: 1 is not prime and not composite, so it sits alone outside the factoring game.
How does the page flag a prime?
When the only factor found is the number itself, it reports that the input is prime rather than showing a tidy tree — primes are their own factorization by definition.