Prime Factorization
Break down any number into its prime factors using our fast mathematical algorithm.
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Prime factors
2 × 2 × 5 × 5
100 = 2 × 2 × 5 × 5
How this tool works
What it accepts, how to use it, and where your input is processed.
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How this tool works
What it accepts, how to use it, and where your input is processed.
Show GuideHide Guide
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.
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