Prime Factors Calculator
Calculate the prime factorization of any positive integer.
Results:
Understanding Prime Factorization
Prime factorization is the process of breaking down a number into its prime factors - numbers that can only be divided by 1 and themselves. This mathematical concept is fundamental to number theory and has practical applications in cryptography, computer science, and everyday calculations.
How It Works
The calculator follows these steps:
- Takes your input number
- Divides it by the smallest possible prime number (usually starting with 2)
- Continues this process until no further division is possible
- Displays all prime factors and their multiplicities