🔢 Prime Factorization Calculator

Find prime factors of a number

How to Use This Calculator

1

Enter a Number

Type a positive integer.

2

Get Factorization

See all prime factors and if it's prime.

About Prime Factorization Calculator

The Prime Factorization Calculator finds all prime factors of a number and expresses it as a product of primes with exponents.

When to Use This Calculator

  • Number Theory: Find prime factors
  • Education: Learn factorization

Why Use Our Calculator?

  • ✅ Complete Factors: Lists all prime factors
  • ✅ Prime Check: Detects prime numbers
  • ✅ Educational: Learn factorization
  • ✅ Completely Free: No registration required

Frequently Asked Questions

What is prime factorization?

Writing a number as a product of prime numbers. Example: 24 = 2³ × 3, 100 = 2² × 5².

Is prime factorization unique?

Yes! Every number has a unique prime factorization (Fundamental Theorem of Arithmetic).