List all the factors of a whole number.
A factor divides a number exactly. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 — nine in all.
A factor of a number is a whole number that divides it with no remainder. Enter any whole number up to a trillion and the calculator lists every factor, the factor pairs, the prime factorization, the number and sum of factors, and tells you whether the number is prime, composite, perfect, abundant or deficient.
Factors are the building blocks for the GCF and LCM. See also the Prime Factorization Calculator, Common Factor Calculator and GCF Calculator.
The calculator applies the standard method step by step.
| Item | Value |
|---|---|
| Number of factors | 9 |
| Sum of factors | 91 |
| Prime factorization | 2² × 3² |
| Type | Composite number |
| Divisor class | Abundant number (sum of proper factors 55) |
| Perfect square? | Yes (6) |
| Pair |
|---|
| 1 × 36 |
| 2 × 18 |
| 3 × 12 |
| 4 × 9 |
| 6 × 6 |
| Number | Factors |
|---|---|
| 12 | 1, 2, 3, 4, 6, 12 |
| 28 | 1, 2, 4, 7, 14, 28 |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
| 97 | 1, 97 |
| 360 | 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360 |
The whole numbers that divide it exactly. 36 has factors 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Two factors that multiply to the number: 4 × 9 = 36.
A number greater than 1 whose only factors are 1 and itself, such as 2, 3, 5, 7 and 13.
A number equal to the sum of its proper factors. 6 (1 + 2 + 3) and 28 are perfect.
Add 1 to each exponent in its prime factorization and multiply: 36 = 2² × 3² has (2 + 1)(2 + 1) = 9 factors.
Because one factor pairs with itself (6 × 6 = 36), leaving an odd count.
It uses the standard method: number of factors = (e₁ + 1)(e₂ + 1)… where n = p₁^e₁ × p₂^e₂ × … The full working and a worked example are shown on this page.
Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.
Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.
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