Factor Calculator
Find all factors of a number easily
Calculate Factors
About This Calculator
This Factor Calculator allows you to find all the factors of a given number. It’s a helpful tool for students, teachers, and anyone needing quick factorization.
Simply enter a number, and the calculator will display all its factors instantly.
Factor Calculator
The integers that are multiplied together to produce other integers are known as factors in multiplication. For instance, 6 × 5 = 30. The factors of 30 in this case are 6 and 5. The following would also be factors of 30: 1, 2, 3, 10, 15, and 30. In essence, if b can be divided by a without leaving a remainder, then an integer an is a factor of another integer b. When working with fractions and attempting to identify patterns in numbers, factors are crucial.
Finding the prime numbers that, when multiplied, yield the number being addressed is known as prime factorisation. For instance, 2 × 2 × 2 × 3 × 5 is the result of prime factorising 120. When calculating the prime factorisations of numbers, a factor tree can be useful. With 120:
| 120 / \2 60 / \ 2 30 / \ 2 15 / \ 3 5 |
It is evident from the straightforward example of 120 that prime factorisation can quickly become very tiresome. Regretfully, no efficient prime factorisation algorithm for very large numbers exists at this time. Prime factorisations are beyond the range of many calculators, including the one on this page. It took two years and hundreds of machines for a group of researchers to factor the 232-digit number RSA-768.
There is still opportunity for anyone who wants their name to appear in a mathematical algorithm to create one (or demonstrate in some self-named theorem that there isn't one) even though no efficient algorithm has been discovered.