Factors of 3800
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3800 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3800 ≈ 61.64; 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 9300. Without 3800 itself that is 5500, so 3800 is an abundant number.
LaTeX source of the formulas on this page
\[ 3800 = 2^{3} \times 5^{2} \times 19 \]Factor pairs of 3800
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3800 | 1 × 3800 = 3800 |
| 2 | 1900 | 2 × 1900 = 3800 |
| 4 | 950 | 4 × 950 = 3800 |
| 5 | 760 | 5 × 760 = 3800 |
| 8 | 475 | 8 × 475 = 3800 |
| 10 | 380 | 10 × 380 = 3800 |
| 19 | 200 | 19 × 200 = 3800 |
| 20 | 190 | 20 × 190 = 3800 |
| 25 | 152 | 25 × 152 = 3800 |
| 38 | 100 | 38 × 100 = 3800 |
| 40 | 95 | 40 × 95 = 3800 |
| 50 | 76 | 50 × 76 = 3800 |
Questions
What are the factors of 3800?
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. It has 24 factors.
What are the prime factors of 3800?
2, 5, 19. As a product: × × 19.
How many factors does 3800 have?
3800 has 24 factors (12 factor pairs).
What is the sum of the factors of 3800?
9300.
Is 3800 a prime number?
No. It is divisible by 2, so 3800 = 2 × 1900.