Factors of 5760
The factors of 5760 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, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5760 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5760 ≈ 75.89; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19890. Without 5760 itself that is 14130, so 5760 is an abundant number.
LaTeX source of the formulas on this page
\[ 5760 = 2^{7} \times 3^{2} \times 5 \]Factor pairs of 5760
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5760 | 1 × 5760 = 5760 |
| 2 | 2880 | 2 × 2880 = 5760 |
| 3 | 1920 | 3 × 1920 = 5760 |
| 4 | 1440 | 4 × 1440 = 5760 |
| 5 | 1152 | 5 × 1152 = 5760 |
| 6 | 960 | 6 × 960 = 5760 |
| 8 | 720 | 8 × 720 = 5760 |
| 9 | 640 | 9 × 640 = 5760 |
| 10 | 576 | 10 × 576 = 5760 |
| 12 | 480 | 12 × 480 = 5760 |
| 15 | 384 | 15 × 384 = 5760 |
| 16 | 360 | 16 × 360 = 5760 |
| 18 | 320 | 18 × 320 = 5760 |
| 20 | 288 | 20 × 288 = 5760 |
| 24 | 240 | 24 × 240 = 5760 |
| 30 | 192 | 30 × 192 = 5760 |
| 32 | 180 | 32 × 180 = 5760 |
| 36 | 160 | 36 × 160 = 5760 |
| 40 | 144 | 40 × 144 = 5760 |
| 45 | 128 | 45 × 128 = 5760 |
| 48 | 120 | 48 × 120 = 5760 |
| 60 | 96 | 60 × 96 = 5760 |
| 64 | 90 | 64 × 90 = 5760 |
| 72 | 80 | 72 × 80 = 5760 |
Questions
What are the factors of 5760?
The factors of 5760 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, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760. It has 48 factors.
What are the prime factors of 5760?
2, 3, 5. As a product: × × 5.
How many factors does 5760 have?
5760 has 48 factors (24 factor pairs).
What is the sum of the factors of 5760?
19890.
Is 5760 a prime number?
No. It is divisible by 2, so 5760 = 2 × 2880.