Factors of 5840
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5840 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5840 ≈ 76.42; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13764. Without 5840 itself that is 7924, so 5840 is an abundant number.
LaTeX source of the formulas on this page
\[ 5840 = 2^{4} \times 5 \times 73 \]Factor pairs of 5840
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5840 | 1 × 5840 = 5840 |
| 2 | 2920 | 2 × 2920 = 5840 |
| 4 | 1460 | 4 × 1460 = 5840 |
| 5 | 1168 | 5 × 1168 = 5840 |
| 8 | 730 | 8 × 730 = 5840 |
| 10 | 584 | 10 × 584 = 5840 |
| 16 | 365 | 16 × 365 = 5840 |
| 20 | 292 | 20 × 292 = 5840 |
| 40 | 146 | 40 × 146 = 5840 |
| 73 | 80 | 73 × 80 = 5840 |
Questions
What are the factors of 5840?
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. It has 20 factors.
What are the prime factors of 5840?
2, 5, 73. As a product: × 5 × 73.
How many factors does 5840 have?
5840 has 20 factors (10 factor pairs).
What is the sum of the factors of 5840?
13764.
Is 5840 a prime number?
No. It is divisible by 2, so 5840 = 2 × 2920.