Factors of 2160
The factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2160 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2160 ≈ 46.48; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 7440. Without 2160 itself that is 5280, so 2160 is an abundant number.
LaTeX source of the formulas on this page
\[ 2160 = 2^{4} \times 3^{3} \times 5 \]Factor pairs of 2160
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2160 | 1 × 2160 = 2160 |
| 2 | 1080 | 2 × 1080 = 2160 |
| 3 | 720 | 3 × 720 = 2160 |
| 4 | 540 | 4 × 540 = 2160 |
| 5 | 432 | 5 × 432 = 2160 |
| 6 | 360 | 6 × 360 = 2160 |
| 8 | 270 | 8 × 270 = 2160 |
| 9 | 240 | 9 × 240 = 2160 |
| 10 | 216 | 10 × 216 = 2160 |
| 12 | 180 | 12 × 180 = 2160 |
| 15 | 144 | 15 × 144 = 2160 |
| 16 | 135 | 16 × 135 = 2160 |
| 18 | 120 | 18 × 120 = 2160 |
| 20 | 108 | 20 × 108 = 2160 |
| 24 | 90 | 24 × 90 = 2160 |
| 27 | 80 | 27 × 80 = 2160 |
| 30 | 72 | 30 × 72 = 2160 |
| 36 | 60 | 36 × 60 = 2160 |
| 40 | 54 | 40 × 54 = 2160 |
| 45 | 48 | 45 × 48 = 2160 |
Questions
What are the factors of 2160?
The factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160. It has 40 factors.
What are the prime factors of 2160?
2, 3, 5. As a product: × × 5.
How many factors does 2160 have?
2160 has 40 factors (20 factor pairs).
What is the sum of the factors of 2160?
7440.
Is 2160 a prime number?
No. It is divisible by 2, so 2160 = 2 × 1080.