Factors of 120
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 120 is a whole number that divides it with nothing left over. You only need to test the numbers up to √120 ≈ 10.95; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 360. Without 120 itself that is 240, so 120 is an abundant number.
LaTeX source of the formulas on this page
\[ 120 = 2^{3} \times 3 \times 5 \]Factor pairs of 120
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 120 | 1 × 120 = 120 |
| 2 | 60 | 2 × 60 = 120 |
| 3 | 40 | 3 × 40 = 120 |
| 4 | 30 | 4 × 30 = 120 |
| 5 | 24 | 5 × 24 = 120 |
| 6 | 20 | 6 × 20 = 120 |
| 8 | 15 | 8 × 15 = 120 |
| 10 | 12 | 10 × 12 = 120 |
Questions
What are the factors of 120?
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. It has 16 factors.
What are the prime factors of 120?
2, 3, 5. As a product: × 3 × 5.
How many factors does 120 have?
120 has 16 factors (8 factor pairs).
What is the sum of the factors of 120?
360.
Is 120 a prime number?
No. It is divisible by 2, so 120 = 2 × 60.