Factors of 5280
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5280 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5280 ≈ 72.66; 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 18144. Without 5280 itself that is 12864, so 5280 is an abundant number.
LaTeX source of the formulas on this page
\[ 5280 = 2^{5} \times 3 \times 5 \times 11 \]Factor pairs of 5280
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5280 | 1 × 5280 = 5280 |
| 2 | 2640 | 2 × 2640 = 5280 |
| 3 | 1760 | 3 × 1760 = 5280 |
| 4 | 1320 | 4 × 1320 = 5280 |
| 5 | 1056 | 5 × 1056 = 5280 |
| 6 | 880 | 6 × 880 = 5280 |
| 8 | 660 | 8 × 660 = 5280 |
| 10 | 528 | 10 × 528 = 5280 |
| 11 | 480 | 11 × 480 = 5280 |
| 12 | 440 | 12 × 440 = 5280 |
| 15 | 352 | 15 × 352 = 5280 |
| 16 | 330 | 16 × 330 = 5280 |
| 20 | 264 | 20 × 264 = 5280 |
| 22 | 240 | 22 × 240 = 5280 |
| 24 | 220 | 24 × 220 = 5280 |
| 30 | 176 | 30 × 176 = 5280 |
| 32 | 165 | 32 × 165 = 5280 |
| 33 | 160 | 33 × 160 = 5280 |
| 40 | 132 | 40 × 132 = 5280 |
| 44 | 120 | 44 × 120 = 5280 |
| 48 | 110 | 48 × 110 = 5280 |
| 55 | 96 | 55 × 96 = 5280 |
| 60 | 88 | 60 × 88 = 5280 |
| 66 | 80 | 66 × 80 = 5280 |
Questions
What are the factors of 5280?
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. It has 48 factors.
What are the prime factors of 5280?
2, 3, 5, 11. As a product: × 3 × 5 × 11.
How many factors does 5280 have?
5280 has 48 factors (24 factor pairs).
What is the sum of the factors of 5280?
18144.
Is 5280 a prime number?
No. It is divisible by 2, so 5280 = 2 × 2640.