Prime Factorization Calculator
Calculate the prime factors of any number instantly. Enter a positive integer greater than 1 to get started.
Prime Factorization Result
Enter a number above to calculate its prime factors
Factor Tree Visualization
Visualization will appear here
Prime Factor Distribution
Understanding Prime Factorization
What is Prime Factorization?
Prime factorization is the process of breaking down a composite number into the product of its prime factors. Every composite number can be expressed as a unique product of prime numbers.
For example: 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
Why is Prime Factorization Important?
- Fundamental concept in number theory
- Essential for finding greatest common divisors (GCD)
- Used to determine least common multiples (LCM)
- Foundation for cryptography algorithms
- Useful in simplifying fractions
How to Find Prime Factors
To find the prime factors of a number:
- Divide the number by the smallest prime number possible
- Repeat the division with the quotient
- Continue until the quotient is a prime number
- All divisors are the prime factors
User Reviews
May 15, 2024
This calculator saved me so much time on my math homework. The visual representation makes it easy to understand prime factorization!
June 22, 2024
As a math tutor, I recommend this tool to all my students. The clean interface and detailed results are perfect for learning prime factorization concepts.
April 30, 2024
Very useful tool! I especially like the factor tree visualization. It would be even better if it could handle larger numbers.