A factor is a number that divides evenly into another number. For example, factors of 12 are 1, 2, 3, 4, 6, and 12.

What is prime factorization?

Breaking a number down into the product of its prime factors, like 12 = 2² × 3.

Yes, this tool is completely free and works directly in your browser.

Factor Calculator

Find all factors and prime factorization of a number.

Enter a Number

All Factors

—

Prime Factorization

—

Factor Count

—

Is Prime?

—

Sum of Factors

—

Check all numbers from 1 to √n. If n is divisible by a number, both the divisor and quotient are factors.

Divide repeatedly by smallest primes (2, 3, 5...) until 1. Track how many times each prime divides the number.

A number is prime if it has exactly 2 factors: 1 and itself. The tool identifies primes automatically.

Add all factors together. This is useful for identifying perfect numbers (where sum of proper factors = number).

Prime factors are displayed with exponents. 2² × 3 is cleaner than 2 × 2 × 3.

Find factors and prime factorization for homework problems. Verify answers and understand the process.

Find common factors to reduce fractions. If 12 and 18 share factor 6, 12/18 = 2/3.

Prime factorization is the first step for finding LCM and GCD of multiple numbers.

Explore perfect numbers, abundant numbers, and deficient numbers using factor sums.

Understand how large prime numbers are fundamental to encryption algorithms.

Determine all possible ways to divide items evenly. Useful for fair splitting.