Free Prime Factorization Calculator
Prime Factorization Calculator
Break any number into its prime factors, with the exponent form and a visual factor tree - something no built-in calculator can do. Free, no sign-up.
Prime factorization
2 × 2 × 2 × 3 × 3 × 5
= 23 × 32 × 5
Factor tree
360
2
180
2
90
2
45
3
15
3
5
Prime factor Composite
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Prime Factorization Calculator - FAQ
What is prime factorization?
Prime factorization is writing a number as a product of prime numbers. For example, 360 = 2 x 2 x 2 x 3 x 3 x 5, or 2 cubed times 3 squared times 5 in exponent form.
What is a factor tree?
A factor tree shows how a number breaks down into prime factors step by step: you split it into two factors, then keep splitting the composite ones until only primes remain at the ends.
How do you know if a number is prime?
A prime number has exactly two divisors: 1 and itself. If the calculator finds no prime factor smaller than the number, the number is prime.
