Number Factorization

Decompose any number into its prime factors quickly and accurately. Free and online tool for number factorization. Ideal for students, teachers, and professionals working with mathematics and algebra.

What is Number Factorization?

Factoring a number means decomposing that number into its prime factors. For example, the number 12 can be factored as 2² × 3. Every integer greater than 1 can be written as a unique product of prime numbers (Fundamental Theorem of Arithmetic).

Examples:

  • 12 = 2² × 3
  • 18 = 2 × 3²
  • 100 = 2² × 5²

Factorizer

Reference Table

12= 2² × 3
18= 2 × 3²
24= 2³ × 3
30= 2 × 3 × 5
36= 2² × 3²
48= 2⁴ × 3
60= 2² × 3 × 5
100= 2² × 5²

Practical Example

Factor the number 100