Factor Calculator
Find all factors and factor pairs of any positive integer.
Result
Fill in the fields above, then press Calculate.
A factor calculator finds all divisors of a positive integer, displays factor pairs, identifies prime factors, and classifies the number as perfect, abundant, or deficient.
Examples
60
Factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 (12 factors)
Perfect number
28: factors 1, 2, 4, 7, 14, 28. Sum of proper divisors = 1+2+4+7+14 = 28 (perfect!)
Prime
17: factors are only 1 and 17 (2 factors)
Frequently Asked Questions
What is a factor?
A factor (or divisor) of a number n is any integer that divides n exactly, with no remainder. For example, factors of 12 are 1, 2, 3, 4, 6, and 12.
What is a perfect number?
A perfect number equals the sum of its proper divisors (all factors except itself). The first few are 6, 28, 496, and 8128.
What are abundant and deficient numbers?
Abundant: sum of proper divisors > number (e.g., 12). Deficient: sum of proper divisors < number (e.g., 8). Most numbers are deficient.
Result
Your result appears here and follows you as you scroll.
Quick Tips
- •Double-check your inputs — small errors lead to incorrect results.
- •Use factor pairs to quickly verify that all divisors have been found.
- •Check the number classification (perfect, abundant, deficient) for number theory exercises.