Factors of 5200
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 5200 is a whole number that divides it with nothing left over. You only need to test the numbers up to √5200 ≈ 72.11; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13454. Without 5200 itself that is 8254, so 5200 is an abundant number.
LaTeX source of the formulas on this page
\[ 5200 = 2^{4} \times 5^{2} \times 13 \]Factor pairs of 5200
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 5200 | 1 × 5200 = 5200 |
| 2 | 2600 | 2 × 2600 = 5200 |
| 4 | 1300 | 4 × 1300 = 5200 |
| 5 | 1040 | 5 × 1040 = 5200 |
| 8 | 650 | 8 × 650 = 5200 |
| 10 | 520 | 10 × 520 = 5200 |
| 13 | 400 | 13 × 400 = 5200 |
| 16 | 325 | 16 × 325 = 5200 |
| 20 | 260 | 20 × 260 = 5200 |
| 25 | 208 | 25 × 208 = 5200 |
| 26 | 200 | 26 × 200 = 5200 |
| 40 | 130 | 40 × 130 = 5200 |
| 50 | 104 | 50 × 104 = 5200 |
| 52 | 100 | 52 × 100 = 5200 |
| 65 | 80 | 65 × 80 = 5200 |
Questions
What are the factors of 5200?
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200. It has 30 factors.
What are the prime factors of 5200?
2, 5, 13. As a product: × × 13.
How many factors does 5200 have?
5200 has 30 factors (15 factor pairs).
What is the sum of the factors of 5200?
13454.
Is 5200 a prime number?
No. It is divisible by 2, so 5200 = 2 × 2600.