Prime Factorization Calculator

Break down any number into its prime factors.

Enter a Number

Enter any integer greater than or equal to 2

84 is not prime because it's divisible by 2.

What is Prime Factorization?

Prime factorization expresses a number as a product of prime numbers. Every integer greater than 1 has a unique prime factorization.

Examples:

  • 12 = 2² × 3
  • 30 = 2 × 3 × 5
  • 100 = 2² × 5²

Prime Numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31...

Related Calculators

Prime Factorization
Factorization of 84
Prime Factorization84 = 2^2 × 3 × 7
Number of Prime Factors4
Unique Primes3
Is Prime?No
Prime Factors
2237
Step-by-Step

84 ÷ 2 = 42

42 ÷ 2 = 21

21 ÷ 3 = 7

7 is prime