justyourcalculatorFactor Calculator
Every factor and factor pair of a whole number.
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Factor Calculator
All factors and factor pairs of a number
Factors of 120
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
16 positive factors
- Prime factorization
- 2³ × 3 × 5
- Prime?
- No, composite
- Number of factors
- 16
- Sum of factors
- 360
- Perfect number?
- No
How it was calculated
- 120 = 2³ × 3 × 5
- Number of factors = (3 + 1) × (1 + 1) × (1 + 1) = 16
- Test divisors from 1 up to √120 ≈ 10.9545; each one d gives the pair d × (120 / d).
| Factor | × | Paired factor |
|---|---|---|
| 1 | × | 120 |
| 2 | × | 60 |
| 3 | × | 40 |
| 4 | × | 30 |
| 5 | × | 24 |
| 6 | × | 20 |
| 8 | × | 15 |
| 10 | × | 12 |
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How the factor calculator works
A factor (or divisor) of a number divides it exactly, with no remainder. Factors come in pairs that multiply to the number: 120 = 1 × 120 = 2 × 60 = 3 × 40, and so on.
You only need to test divisors up to the square root, because the partner of each small factor is the large one. From the prime factorization p^a × q^b × ..., the number of factors is (a + 1)(b + 1)...
A number with exactly two factors (1 and itself) is prime. Negative numbers have the same factors with either sign.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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