The Prime Factorization Calculator breaks down any positive integer into its prime factors — numbers that can only be divided by 1 and themselves. It shows the result as a product of prime numbers, e.g., 60 = 2 × 2 × 3 × 5.

Prime factorization is the process of expressing a number as a multiplication of its prime numbers. For example, the prime factorization of 84 is 2 × 2 × 3 × 7. Every positive integer greater than 1 has a unique prime factorization.

Simply enter any positive integer, and the calculator automatically determines its prime factors. It can also show steps if you want to understand the division process used to find each factor.

Yes. The Prime Factorization Calculator is designed to handle large integers efficiently. However, extremely large numbers may take longer to process depending on your device’s performance.

Prime factorization is useful in various fields of mathematics, including simplifying fractions, finding greatest common divisors (GCD), least common multiples (LCM), and cryptography (like RSA encryption algorithms).

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17, etc.

Yes. In addition to listing repeated factors, the calculator can display prime factors in exponential form — for example, 360 = 2³ × 3² × 5.

Factorization lists all possible factors (e.g., 12 = 1, 2, 3, 4, 6, 12), while prime factorization lists only the prime numbers whose product equals the number (12 = 2 × 2 × 3).

The calculator works only with positive integers. For negative numbers, it factors the absolute value and may represent the result as -1 × (prime factors).

This tool is helpful for students, teachers, researchers, and anyone learning number theory or working with divisibility, cryptography, or factor-based problems in mathematics.