Prime Factorization Calculator
Find the prime factors of any number. Shows the factor tree and prime factorization notation. Handles numbers up to 10 billion. Free.
How to use the Prime Factors
Prime factorization
Every integer greater than 1 can be expressed uniquely as a product of prime numbers (the Fundamental Theorem of Arithmetic). For example: 360 = 2³ × 3² × 5. Prime factorization is the foundation of cryptography, number theory and many mathematical algorithms.
Uses of prime factorization
Finding the GCF (greatest common factor) and LCM (lowest common multiple) of numbers. Simplifying fractions. Understanding how RSA encryption works — the security of the internet relies on the difficulty of factorizing very large numbers.
Frequently asked questions
Is the Prime Factors free to use?
Yes, the Prime Factors is completely free. There is no sign-up, no account required, and no limit on how often you can use it.
How accurate is the Prime Factors?
The Prime Factors uses standard mathematical formulas and produces results accurate to standard precision. For critical applications, always verify with an authoritative source.
What devices does the Prime Factors work on?
The Prime Factors works on any device with a modern web browser — desktop, laptop, tablet, or phone. It is mobile-friendly and works offline once the page has loaded.