Factor Calculator

Find all factors (divisors) of a number. Visualize factor pairs and number properties.

Try these numbers

Factors of 36

123469121836

Total Factors

9

Sum of Factors

91

Factor Pairs

1×36=36
2×18=36
3×12=36
4×9=36
6×6=36

Number Properties

PrimeNo
CompositeYes
Perfect NumberNo
Abundant NumberSum > n

Proper Divisors (excluding 36)

1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 = 55

Factor Visualization

Highlighted squares represent factors of 36

What Are Factors?

Factors (or divisors) of a number are integers that divide it exactly, with no remainder. For example, the factors of 12 are: 1, 2, 3, 4, 6, 12.

Number Types

Perfect number: sum of proper divisors equals the number (6, 28, 496). Abundant: sum greater than the number. Deficient: sum less than the number.

Finding Factors

To find factors, divide the number by each integer from 1 to its square root. If division is exact, both the divisor and quotient are factors.