Factor Calculator
Every divisor of n, plus primes. Click any i for detail.
Integer
Number
i
n
Positive whole number (kept modest for browser speed). |
|---|
How to use this calculator
- Enter a positive whole number.
- Read every positive divisor listed in order.
- Check the prime factorization line for the power form.
- Try a composite like 84 to see pairs and primes together.
Results explained
Factors are every integer that divides n evenly. Prime factorization breaks n into prime powers. Very large n may be truncated for browser speed.
Quick reference: factors
Factors of 12 are 1, 2, 3, 4, 6, and 12.
| Item | Detail |
|---|---|
| Prime | Only 1 and itself divide it |
| Composite | Has a factor other than 1 and itself |
| Perfect square | Pairs of factors meet at √n |
| 1 | Every integer has 1 as a factor |
This page factors one n; GCF/LCM pages take lists.
How the estimate is built
Trial division up to √n for divisors; successive division for prime powers.
Example scenario
84 → factors 1…84; prime form 2² × 3 × 7.
FAQ
How is this different from GCF?
GCF finds the largest shared factor of several numbers. This lists all factors of one n.
What about negative numbers?
Divisors are listed for the absolute value of n.
Why cap large inputs?
Trial division grows with √n; huge numbers can freeze the tab.