Factors of 2250
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2250 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2250 ≈ 47.43; 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 6084. Without 2250 itself that is 3834, so 2250 is an abundant number.
LaTeX source of the formulas on this page
\[ 2250 = 2 \times 3^{2} \times 5^{3} \]Factor pairs of 2250
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2250 | 1 × 2250 = 2250 |
| 2 | 1125 | 2 × 1125 = 2250 |
| 3 | 750 | 3 × 750 = 2250 |
| 5 | 450 | 5 × 450 = 2250 |
| 6 | 375 | 6 × 375 = 2250 |
| 9 | 250 | 9 × 250 = 2250 |
| 10 | 225 | 10 × 225 = 2250 |
| 15 | 150 | 15 × 150 = 2250 |
| 18 | 125 | 18 × 125 = 2250 |
| 25 | 90 | 25 × 90 = 2250 |
| 30 | 75 | 30 × 75 = 2250 |
| 45 | 50 | 45 × 50 = 2250 |
Questions
What are the factors of 2250?
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. It has 24 factors.
What are the prime factors of 2250?
2, 3, 5. As a product: 2 × × .
How many factors does 2250 have?
2250 has 24 factors (12 factor pairs).
What is the sum of the factors of 2250?
6084.
Is 2250 a prime number?
No. It is divisible by 2, so 2250 = 2 × 1125.