Factor Calculator | Find All Factors, Pairs & Factor Trees
Find all factors, factor pairs, prime factorization, and generate factor trees for any positive integer. Includes prime/composite classification steps.
Note: Inputs are clamped between 1 and 1,000,000 to prevent CPU page lockups during factor factorization.
Number Taxonomy Profile
CompositePerfect SquareAbundant
Analyzed: 36
Factor Count (τ)9
Sum of Factors (σ)91
Proper Divisors Sum55
Prime Factorization2² × 3²
All Divisors List
1, 2, 3, 4, 6, 9, 12, 18, 36
Factor Pairs Ledger
| Pair Index | Factor A | Factor B | Equation |
|---|---|---|---|
| Pair #1 | 1 | 36 | 1 × 36 = 36 |
| Pair #2 | 2 | 18 | 2 × 18 = 36 |
| Pair #3 | 3 | 12 | 3 × 12 = 36 |
| Pair #4 | 4 | 9 | 4 × 9 = 36 |
| Pair #5 | 6 | 6 | 6 × 6 = 36 |
Recursive Factor Tree Visualization
36
2Prime
18
2Prime
9
3Prime
3Prime