Factors of 5940
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5940 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5940 ≈ 77.07; 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 20160. Without 5940 itself that is 14220, so 5940 is an abundant number.
LaTeX source of the formulas on this page
\[ 5940 = 2^{2} \times 3^{3} \times 5 \times 11 \]Factor pairs of 5940
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5940 | 1 × 5940 = 5940 |
| 2 | 2970 | 2 × 2970 = 5940 |
| 3 | 1980 | 3 × 1980 = 5940 |
| 4 | 1485 | 4 × 1485 = 5940 |
| 5 | 1188 | 5 × 1188 = 5940 |
| 6 | 990 | 6 × 990 = 5940 |
| 9 | 660 | 9 × 660 = 5940 |
| 10 | 594 | 10 × 594 = 5940 |
| 11 | 540 | 11 × 540 = 5940 |
| 12 | 495 | 12 × 495 = 5940 |
| 15 | 396 | 15 × 396 = 5940 |
| 18 | 330 | 18 × 330 = 5940 |
| 20 | 297 | 20 × 297 = 5940 |
| 22 | 270 | 22 × 270 = 5940 |
| 27 | 220 | 27 × 220 = 5940 |
| 30 | 198 | 30 × 198 = 5940 |
| 33 | 180 | 33 × 180 = 5940 |
| 36 | 165 | 36 × 165 = 5940 |
| 44 | 135 | 44 × 135 = 5940 |
| 45 | 132 | 45 × 132 = 5940 |
| 54 | 110 | 54 × 110 = 5940 |
| 55 | 108 | 55 × 108 = 5940 |
| 60 | 99 | 60 × 99 = 5940 |
| 66 | 90 | 66 × 90 = 5940 |
Questions
What are the factors of 5940?
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940. It has 48 factors.
What are the prime factors of 5940?
2, 3, 5, 11. As a product: × × 5 × 11.
How many factors does 5940 have?
5940 has 48 factors (24 factor pairs).
What is the sum of the factors of 5940?
20160.
Is 5940 a prime number?
No. It is divisible by 2, so 5940 = 2 × 2970.