Prime Factorization Calculator

Uncover the prime numbers that make up any positive integer. Enter a number and let's factorize!

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Understanding Prime Factorization

Prime factorization is like finding the basic building blocks of a number. Every whole number greater than 1 can be expressed as a product of prime numbers. Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves (e.g., 2, 3, 5, 7, 11...).

Example: Let's take the number 12. We can break it down as follows: 12 ÷ 2 = 6, 6 ÷ 2 = 3, 3 ÷ 3 = 1. So, the prime factors of 12 are 2, 2, and 3, or 2² × 3.

This tool simplifies this process for you. Just enter any positive integer, and it will quickly find and display its prime factors. Prime factorization is useful in various areas of mathematics, including simplifying fractions, finding the greatest common divisor (GCD), and the least common multiple (LCM) of numbers.

For further learning, you can explore resources on number theory and prime numbers at websites like Math is Fun - Prime Factorization and Wikipedia - Prime Factorization.