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Home›Mathematics›Prime Factorization Calculator

Prime Factorization Calculator

Enter any integer (up to 1,000,000) to instantly get its prime factorization, determine if it's prime or composite, and see the sum of all its divisors.

CalculatorHow It WorksFAQRelated Tools

What You Can Calculate

  • Type
  • Prime factorization
  • All prime factors
  • Number of factors
  • Sum of all divisors

Frequently Asked Questions

No. By definition, a prime number has exactly two distinct divisors: 1 and itself. The number 1 has only one divisor (itself), so it is neither prime nor composite.

How this calculator works

Formula explanation

Trial division: divide n by 2, then odd numbers up to √n. Each divisor found is a prime factor. Repeat until quotient = 1.

Worked example

Example: 360 = 2 × 2 × 2 × 3 × 3 × 5 = 2^3 × 3^2 × 5

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