Prime Factorization Calculator
โก Find prime factors of any number instantly. See step-by-step division method. 100% free.
The Best Prime Factorization Calculator
Our prime factorization calculator is designed for students who want to actually understand math. We show you the complete division method step-by-step, so you actually LEARN - not just get answers. Every positive integer greater than 1 can be expressed as a unique product of prime numbers (Fundamental Theorem of Arithmetic). No signup, no ads, just instant accurate results.
Prime Factorization
n = pโ^aโ ร pโ^aโ ร ... ร pโ^aโEvery integer is a unique product of prime powers
Factor Tree Method
Divide by smallest prime until 1Keep dividing by 2, 3, 5, 7, 11...
Examples
Prime Factorization of 60
Prime Factorization of 84
Frequently Asked Questions
Is this prime factorization calculator free?
Yes! 100% free with no signup required and no ads.
What is a prime number?
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples: 2, 3, 5, 7, 11, 13...
Why is 1 not a prime number?
By definition, prime numbers must have exactly two distinct factors. The number 1 only has one factor (itself), so it is not considered prime.