Prime Factor Calculator

Easily calculate the prime factors of any positive integer.

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About Prime Factorization

Prime factorization is the process of finding which prime numbers multiply together to make the original number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself (e.g., 2, 3, 5, 7, 11). For example, the prime factors of 12 are 2, 2, and 3, because 2 × 2 × 3 = 12. This calculator simplifies this process, allowing you to quickly find the prime factors of any given positive integer. Understanding prime factors is fundamental in number theory and has applications in cryptography and computer science. Use this tool to explore and learn more about the building blocks of numbers!

  • Prime Number: A number greater than 1 that is divisible only by 1 and itself.
  • Factor: A number that divides another number evenly without any remainder.
  • Prime Factorization: Expressing a composite number as a product of its prime factors.