Prime Factorization Calculator
Break any integer down into its prime factors, shown as multiplication and exponent form.
Multiplication form
2 × 2 × 2 × 3 × 3 × 5
Exponent form
2^3 × 3^2 × 5
All factors (24)
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Enter a whole number and this tool factors it into primes instantly, right in your browser. See the multiplication form, the compact exponent notation, and every divisor of the number.
How to use
- Type a positive integer greater than 1.
- View the prime factorization in both multiplication and exponent form.
- Check the full list of divisors below the result.
Frequently asked questions
- What is prime factorization?
- It's expressing a number as a product of prime numbers, e.g. 12 = 2 × 2 × 3.
- What is the largest number I can factor?
- This tool supports integers up to 1,000,000,000,000 (one trillion) for fast, in-browser results.
- What if I enter a prime number?
- The tool tells you the number itself is prime, since its only factorization is 1 × itself.