Factor Calculator
Find all factors and prime factorization of any number
Number to Factor
Enter a positive whole number to factor
Quick Reference
Factor: A number that divides N with no remainder
Factor pair: Two factors whose product is N
Prime factorization: N written as a product of primes
Prime number: Has exactly two factors (1 and itself)
Perfect number: Equals the sum of its proper divisors
Try These
Factors of 36
1, 2, 3, 4, 6, 9, 12, 18, 36
9 factors
Factor Count
9
Total divisors
Prime Factorization
2² × 3²
Product of primes
Number Properties
Prime number:No
Sum of proper divisors:55
Perfect number:No
Classification:abundant
Prime Factor Breakdown
2appears 2 times
3appears 2 times
36 = 2² × 3²
How it works
A factor calculator lists all the whole numbers that divide evenly into a given number. You find them in pairs: test each number up to the square root, and for every divisor you find, its partner (the number divided by it) is a factor too.
Factors
f is a factor of n if n ÷ f leaves no remainder
- n
- the number to factor
- f
- a divisor (factor) of n
Worked example
- Find the factors of 24
- Pairs: 1×24, 2×12, 3×8, 4×6
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Good to know
- Every number has 1 and itself as factors; primes have only those two.
- Prime factorization breaks a number into prime building blocks (24 = 2³ × 3).
- Checking divisors only up to √n is enough — the larger partner comes for free.