Factors of 5800
The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5800 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5800 ≈ 76.16; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13950. Without 5800 itself that is 8150, so 5800 is an abundant number.
LaTeX source of the formulas on this page
\[ 5800 = 2^{3} \times 5^{2} \times 29 \]Factor pairs of 5800
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5800 | 1 × 5800 = 5800 |
| 2 | 2900 | 2 × 2900 = 5800 |
| 4 | 1450 | 4 × 1450 = 5800 |
| 5 | 1160 | 5 × 1160 = 5800 |
| 8 | 725 | 8 × 725 = 5800 |
| 10 | 580 | 10 × 580 = 5800 |
| 20 | 290 | 20 × 290 = 5800 |
| 25 | 232 | 25 × 232 = 5800 |
| 29 | 200 | 29 × 200 = 5800 |
| 40 | 145 | 40 × 145 = 5800 |
| 50 | 116 | 50 × 116 = 5800 |
| 58 | 100 | 58 × 100 = 5800 |
Questions
What are the factors of 5800?
The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. It has 24 factors.
What are the prime factors of 5800?
2, 5, 29. As a product: × × 29.
How many factors does 5800 have?
5800 has 24 factors (12 factor pairs).
What is the sum of the factors of 5800?
13950.
Is 5800 a prime number?
No. It is divisible by 2, so 5800 = 2 × 2900.