Prime Factor Calculator
Find Prime Factors in Seconds—Accurate and Fast.
Use this free calculator to find the prime factorization of any whole number. This tool breaks down a number into its unique set of prime factors — the building blocks of all integers.
What Is Prime Factorization?
Prime factorization is the process of expressing a number as the product of its prime numbers. For example:
- 24 = 2 × 2 × 2 × 3
- 60 = 2 × 2 × 3 × 5
Every whole number greater than 1 can be uniquely factored into primes. This concept is foundational in number theory and is widely used in math education, cryptography, and programming.
Why Use a Prime Factor Calculator?
- Great for learning prime factor trees or solving math problems
- Useful in coding, algorithm design, and data encryption
- Accurate and fast results for large numbers
Other Prime Number Tools
Explore more prime number tools:
- Prime Number Checker - Test if any number is prime.
- Prime Number Generator - Create a list of primes in a number range.
How to Use the Prime Factor Calculator
This free tool helps you find the prime factorization of any whole number greater than 1. Prime factorization is the process of breaking a number down into the prime numbers that multiply together to give the original number.
- Enter a whole number (minimum value: 2) into the input box.
- Click the "Find Prime Factors" button.
- The tool will display the step-by-step factorization process and the final set of prime factors.
Example: Entering 60 will show that its prime factors are 2 × 2 × 3 × 5.
FAQs - Prime Factor Calculator
Prime factors are prime numbers that multiply together to give a larger number. For example, the prime factors of 30 are 2, 3, and 5.
Start dividing the number by the smallest prime (2), then continue dividing by higher primes until the quotient is 1.
Yes. For example, 8 = 2 × 2 × 2. Repetition is allowed in prime factorizations.
No. 1 is not considered a prime number and is never included in a prime factorization.
Yes. Our calculator uses efficient algorithms to factor large integers quickly and accurately.
Continue Exploring
Want to explore all prime numbers tools? Visit our Prime Number Calculator main page.