Factor Calculator

A factor is a number that divides another number evenly without a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Finding factors is fundamental in mathematics and plays an important role in fraction calculations, finding greatest common divisors and least common multiples.

Prime factorization is expressing a number as a product of prime numbers. For example, 12 = 2² × 3. Prime factorization is very useful for finding all factors or calculating greatest common divisors and least common multiples. Every composite number has a unique prime factorization.

A prime number is a natural number greater than 1 that has only 1 and itself as factors. 2, 3, 5, 7, 11 are prime numbers. A composite number has factors other than 1 and itself. 4, 6, 8, 9 are composite numbers. This calculator automatically determines whether the entered number is prime or composite.

Using the prime factorization result, you can easily find the number of factors. For example, if 12 = 2² × 3¹, the number of factors is (2+1) × (1+1) = 6. This is the product of adding 1 to each exponent of the prime factors.

The factor calculator helps solve various problems from elementary school to middle school mathematics. You can easily check and verify problems involving finding factors, greatest common divisors and least common multiples, and prime factorization. It's a useful tool for students to understand concepts and practice.

Shows all factors in a list and expresses prime factorization results as formulas. The number of factors and whether the number is prime are clearly displayed, allowing you to grasp the properties of the number at a glance. Convenient as you can immediately check results without complex calculations.