Find prime factors, exponent form, factor trees, and divisibility details with this free prime factorization calculator.
Step 1:
Divide the number by the smallest prime possible.
Step 2:
Keep dividing until the remaining value is prime.
Step 3:
List all prime factors and group repeats with exponents.
Factor tree:
Break the number into factor pairs until every branch ends in a prime.
Prime factorization is useful for simplifying fractions, finding greatest common factors, least common multiples, and solving many number theory problems.
It is also helpful in algebra, divisibility checks, and understanding how numbers are built.
Your result shows the prime factors of the number, how often each factor appears, and a factor tree view when factorization mode is used.
In divisibility mode, the result shows whether one whole number divides evenly into another.
Prime factorization is writing a number as a product of prime numbers.
A prime number has exactly two positive factors: 1 and itself.
Every whole number greater than 1 has only one prime factorization, apart from the order of the factors.
No. The number 1 is not prime because it has only one positive factor.