Factor Calculator
Find all factors, factor pairs, and prime factorization of any positive integer with visual factorization ladder.
Find all factors, factor pairs, and prime factorization of any positive integer with visual factorization ladder.
Enter Number
Enter a positive integer to find its factors
About Factors
Factors are numbers that divide another number without leaving a remainder. Every number has at least two factors: 1 and itself. Prime numbers have exactly two factors.
Key Concepts:
- • Factors: Numbers that divide evenly
- • Factor Pairs: Two numbers that multiply to the original
- • Prime Factors: Factors that are prime numbers
- • Prime Factorization: Breaking down into prime factors
- • Perfect Squares: Have odd number of factors
Common Applications:
- • Finding common denominators
- • Simplifying fractions
- • Number theory problems
- • Cryptography and security
- • Mathematical puzzles
Factorization Method:
We find factors by testing divisibility from 1 to the square root of the number. Prime factorization is found by repeatedly dividing by the smallest prime factors. The ladder shows this division process visually.