Prime Factorization Calculator
Break any positive integer into its prime factors, then see all divisors, the divisor count, the sum of divisors and whether the number is prime. Free and instant.
Enter any whole number from 2 upward.
About Prime Factorization Calculator
The prime factorization calculator breaks any whole number from 2 upward into its prime factors and shows the result in exponent form, such as 2² × 3² × 5 for 180. It also tells you whether the number itself is prime, so it doubles as a quick prime checker.
The tool works by trial division: it divides your number by successive primes until only 1 remains, collecting each prime and its exponent along the way. From that factorization it derives the complete list of divisors, the divisor count and the sum of divisors.
Prime factorization comes up in math homework, simplifying fractions, finding greatest common factors and understanding how numbers are built. This calculator is free and runs entirely in your browser, so results appear the instant you type.
How to use Prime Factorization Calculator
- Enter any whole number from 2 upward in the number field.
- Or click one of the quick examples to load a sample value.
- Read the prime factorization shown with exponents, plus the prime check.
- Review the divisor count, the sum of divisors and the full list of all divisors.