Prime Factorization Calculator
Break any number into its prime building blocks.
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Results update instantly as you type — no submit needed.
Results
- Prime factorisation
- 2^4 × 3^2 × 5 × 7
- Is it prime?
- No
- Number of divisors
- 60
- All divisors
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144
Working
- 15040 = 2^4 × 3^2 × 5 × 7
Quick answer
Every integer above 1 has a unique prime factorisation — the fundamental theorem of arithmetic.
How to use the Prime Factorization Calculator
- 1Enter any whole number above 1.
- 2Read the prime factorisation.
- 3Check the divisor list and count.
Frequently asked questions
Why is 1 not prime?
Primes have exactly two distinct divisors. 1 has only one, and treating it as prime would break unique factorisation.
What is the largest known prime?
As of 2024 it is 2^136,279,841 − 1, a Mersenne prime with over 41 million digits.