Factors of 6750
The factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6750 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6750 ≈ 82.16; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 18720. Without 6750 itself that is 11970, so 6750 is an abundant number.
LaTeX source of the formulas on this page
\[ 6750 = 2 \times 3^{3} \times 5^{3} \]Factor pairs of 6750
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6750 | 1 × 6750 = 6750 |
| 2 | 3375 | 2 × 3375 = 6750 |
| 3 | 2250 | 3 × 2250 = 6750 |
| 5 | 1350 | 5 × 1350 = 6750 |
| 6 | 1125 | 6 × 1125 = 6750 |
| 9 | 750 | 9 × 750 = 6750 |
| 10 | 675 | 10 × 675 = 6750 |
| 15 | 450 | 15 × 450 = 6750 |
| 18 | 375 | 18 × 375 = 6750 |
| 25 | 270 | 25 × 270 = 6750 |
| 27 | 250 | 27 × 250 = 6750 |
| 30 | 225 | 30 × 225 = 6750 |
| 45 | 150 | 45 × 150 = 6750 |
| 50 | 135 | 50 × 135 = 6750 |
| 54 | 125 | 54 × 125 = 6750 |
| 75 | 90 | 75 × 90 = 6750 |
Questions
What are the factors of 6750?
The factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. It has 32 factors.
What are the prime factors of 6750?
2, 3, 5. As a product: 2 × × .
How many factors does 6750 have?
6750 has 32 factors (16 factor pairs).
What is the sum of the factors of 6750?
18720.
Is 6750 a prime number?
No. It is divisible by 2, so 6750 = 2 × 3375.