Factors of 2880
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880. It has 42 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2880 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2880 ≈ 53.67; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 42 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9906. Without 2880 itself that is 7026, so 2880 is an abundant number.
LaTeX source of the formulas on this page
\[ 2880 = 2^{6} \times 3^{2} \times 5 \]Factor pairs of 2880
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2880 | 1 × 2880 = 2880 |
| 2 | 1440 | 2 × 1440 = 2880 |
| 3 | 960 | 3 × 960 = 2880 |
| 4 | 720 | 4 × 720 = 2880 |
| 5 | 576 | 5 × 576 = 2880 |
| 6 | 480 | 6 × 480 = 2880 |
| 8 | 360 | 8 × 360 = 2880 |
| 9 | 320 | 9 × 320 = 2880 |
| 10 | 288 | 10 × 288 = 2880 |
| 12 | 240 | 12 × 240 = 2880 |
| 15 | 192 | 15 × 192 = 2880 |
| 16 | 180 | 16 × 180 = 2880 |
| 18 | 160 | 18 × 160 = 2880 |
| 20 | 144 | 20 × 144 = 2880 |
| 24 | 120 | 24 × 120 = 2880 |
| 30 | 96 | 30 × 96 = 2880 |
| 32 | 90 | 32 × 90 = 2880 |
| 36 | 80 | 36 × 80 = 2880 |
| 40 | 72 | 40 × 72 = 2880 |
| 45 | 64 | 45 × 64 = 2880 |
| 48 | 60 | 48 × 60 = 2880 |
Questions
What are the factors of 2880?
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880. It has 42 factors.
What are the prime factors of 2880?
2, 3, 5. As a product: × × 5.
How many factors does 2880 have?
2880 has 42 factors (21 factor pairs).
What is the sum of the factors of 2880?
9906.
Is 2880 a prime number?
No. It is divisible by 2, so 2880 = 2 × 1440.