Factor Calculator
Find all factors and prime factorization of any integer
Factor Calculator
Use our factor calculator below to find all factors, factor pairs, and prime factorization of any integer.
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What is a Factor?
In multiplication, factors are the integers that are multiplied together to find other integers. For example, 6 Ã 5 = 30, so 6 and 5 are factors of 30.
Factor Pairs
Factor pairs are two factors that when multiplied together give the original number. They come in pairs that multiply to create the target number.
Prime Factorization
Prime factorization involves finding the prime numbers that, when multiplied, return the original number. It's the unique way to express a number as a product of primes.
About Factor Calculations
Factors are important when working with fractions, as well as when trying to find patterns within numbers. Essentially, an integer a is a factor of another integer b, so long as b can be divided by a with no remainder.
Prime factorization can become quite complex for large numbers. While this calculator can handle most common numbers, very large numbers may require specialized algorithms and significant computational resources to factorize completely.
Applications of Factors
- Simplifying Fractions: Finding common factors to reduce fractions to lowest terms
- Finding LCM and GCD: Used in calculations involving multiple numbers
- Number Theory: Understanding the structure and properties of integers
- Cryptography: Prime factorization is fundamental to many encryption algorithms
- Problem Solving: Breaking down complex mathematical problems into simpler parts