Prime Factorization

Break down any number into its prime factors using our fast mathematical algorithm.

In-Depth Guide

Everything you need to know

Every positive integer greater than 1 is either a prime number or can be represented as a product of prime numbers. This is known as the Fundamental Theorem of Arithmetic.

Why Use Factorization?

  • Number Theory: Essential for finding the Greatest Common Divisor (GCD) and Least Common Multiple (LCM).
  • Fraction Simplification: Factor both the numerator and denominator to find common terms.
  • Cryptography: Large-scale factorization is the core challenge behind breaking RSA encryption.