Prime Factorization Calculator

What is the Prime Factorization Calculator?

The Prime Factorization Calculator breaks down a number into its prime factors, which are the prime numbers that multiply together to give the original number. The calculator also provides the number of divisors and indicates whether the number itself is prime.

The calculator is free, works in your browser without registration, and displays the result as soon as you change the values. The calculations are performed on your device, and the information you enter is not sent anywhere.

Formula and Calculation Principle

The prime factorization is obtained by repeatedly dividing the number by the smallest possible prime number until only 1 remains. The number of divisors = product (exponent + 1).

Practical Example

360 = 2³ × 3² × 5, so the number of divisors is (3 + 1) × (2 + 1) × (1 + 1) = 24. With default settings, the calculator gives the result: 360 = 2^3 × 3^2 × 5.

Who is the calculator suitable for?

For school students, learners, and anyone who needs prime factors for simplifying fractions, calculating the greatest common divisor (GCD), or the least common multiple (LCM).

Tips and Notes

• Start dividing by 2, then 3, 5, 7, and so on.
• An even number is always divisible by two.
• GCD and LCM can be found from the prime factors.