Prime factorisation calculator
Break any integer into its prime factors. Shows the factorisation tree, exponent form and all divisors of the number.
- Free, no sign-up
- No data stored
- Reviewed 2026-01-15
Your details
Results
Prime factorisation
2^3 × 3^2 × 5
360 = 2 × 2 × 2 × 3 × 3 × 5
- Is prime
- No
- Distinct primes
- 3
- Divisor count
- 24
- Divisor sum
- 1,170
- Perfect number
- No
- Square root
- 18.973666
Divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360Working
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1About the Prime Factorisation Calculator
Enter a positive integer to see its complete prime factorisation. The result shows factors in exponent form and lists all divisors of the number. Works for numbers up to 1015.
How to use the Prime Factorisation Calculator
- Enter a positive integer.
- View the prime factorisation.
- See all divisors listed.
Frequently asked questions
What is a prime factor?
A factor that is itself a prime number. Every integer > 1 can be expressed uniquely as a product of primes (Fundamental Theorem of Arithmetic).
How are divisors related to factors?
Every divisor is a product of some combination of the prime factors. The number of divisors equals the product of (exponent + 1) for each prime.
What is the largest number supported?
Numbers up to 10^15. Very large primes take longer to identify.