Factors of 5880
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5880 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5880 ≈ 76.68; 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 20520. Without 5880 itself that is 14640, so 5880 is an abundant number.
LaTeX source of the formulas on this page
\[ 5880 = 2^{3} \times 3 \times 5 \times 7^{2} \]Factor pairs of 5880
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5880 | 1 × 5880 = 5880 |
| 2 | 2940 | 2 × 2940 = 5880 |
| 3 | 1960 | 3 × 1960 = 5880 |
| 4 | 1470 | 4 × 1470 = 5880 |
| 5 | 1176 | 5 × 1176 = 5880 |
| 6 | 980 | 6 × 980 = 5880 |
| 7 | 840 | 7 × 840 = 5880 |
| 8 | 735 | 8 × 735 = 5880 |
| 10 | 588 | 10 × 588 = 5880 |
| 12 | 490 | 12 × 490 = 5880 |
| 14 | 420 | 14 × 420 = 5880 |
| 15 | 392 | 15 × 392 = 5880 |
| 20 | 294 | 20 × 294 = 5880 |
| 21 | 280 | 21 × 280 = 5880 |
| 24 | 245 | 24 × 245 = 5880 |
| 28 | 210 | 28 × 210 = 5880 |
| 30 | 196 | 30 × 196 = 5880 |
| 35 | 168 | 35 × 168 = 5880 |
| 40 | 147 | 40 × 147 = 5880 |
| 42 | 140 | 42 × 140 = 5880 |
| 49 | 120 | 49 × 120 = 5880 |
| 56 | 105 | 56 × 105 = 5880 |
| 60 | 98 | 60 × 98 = 5880 |
| 70 | 84 | 70 × 84 = 5880 |
Questions
What are the factors of 5880?
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880. It has 48 factors.
What are the prime factors of 5880?
2, 3, 5, 7. As a product: × 3 × 5 × .
How many factors does 5880 have?
5880 has 48 factors (24 factor pairs).
What is the sum of the factors of 5880?
20520.
Is 5880 a prime number?
No. It is divisible by 2, so 5880 = 2 × 2940.