Prime factorization
Factor one or more numbers into prime factors with a step-by-step solution
Numbers
Enter up to 50 numbers — one per line or separated by commas.
Total numbers: 1
🔢 What is prime factorization
Every natural number greater than 1 can be written as a product of prime numbers. This representation is called prime factorization and is unique up to the order of the factors.
Primes up to 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
✏️ How to factor manually
Divide the number by primes starting with the smallest (2) until the result is 1:
- 36 ÷ 2 = 18
- 18 ÷ 2 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1
36 = 2 × 2 × 3 × 3 = 2² × 3²