Math
Prime Factorization
Break any integer into prime factors.
Result
2^3 × 3^2 × 5
Prime factorization
Factor count
6
Is prime?
No
Download results
Quick summary
Decompose an integer into its prime factors and detect whether the number itself is prime.
How to calculate prime factorization manually
- Enter your input values into the Prime Factorization calculator above.
- Review the formula and assumptions in the Expert Guide section.
- Adjust the inputs to model different scenarios in real time.
- Save or export the results once they match your scenario.
Decompose an integer into its prime factors and detect whether the number itself is prime.
How it works
Trial-divides n by every prime p ≤ √n; the remaining factor (if > 1) is also prime.
Example
360 = 2³ × 3² × 5.
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