Prime Factorization

Find the prime factors of a number, along with its step-by-step division process and exponential representation.

n = p_1^{a_1} \times p_2^{a_2} \times \dots \times p_k^{a_k} \text{ (where } p_i \text{ are distinct prime numbers)}

Result

Step-by-Step Calculation & Explanation

Prime factorization is the process of breaking down a composite number into its component prime numbers. This tool performs trial division starting from 2, continuously dividing the number until the remaining value is prime.