Factors of 6000
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6000 ≈ 77.46; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19344. Without 6000 itself that is 13344, so 6000 is an abundant number.
LaTeX source of the formulas on this page
\[ 6000 = 2^{4} \times 3 \times 5^{3} \]Factor pairs of 6000
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6000 | 1 × 6000 = 6000 |
| 2 | 3000 | 2 × 3000 = 6000 |
| 3 | 2000 | 3 × 2000 = 6000 |
| 4 | 1500 | 4 × 1500 = 6000 |
| 5 | 1200 | 5 × 1200 = 6000 |
| 6 | 1000 | 6 × 1000 = 6000 |
| 8 | 750 | 8 × 750 = 6000 |
| 10 | 600 | 10 × 600 = 6000 |
| 12 | 500 | 12 × 500 = 6000 |
| 15 | 400 | 15 × 400 = 6000 |
| 16 | 375 | 16 × 375 = 6000 |
| 20 | 300 | 20 × 300 = 6000 |
| 24 | 250 | 24 × 250 = 6000 |
| 25 | 240 | 25 × 240 = 6000 |
| 30 | 200 | 30 × 200 = 6000 |
| 40 | 150 | 40 × 150 = 6000 |
| 48 | 125 | 48 × 125 = 6000 |
| 50 | 120 | 50 × 120 = 6000 |
| 60 | 100 | 60 × 100 = 6000 |
| 75 | 80 | 75 × 80 = 6000 |
Questions
What are the factors of 6000?
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000. It has 40 factors.
What are the prime factors of 6000?
2, 3, 5. As a product: × 3 × .
How many factors does 6000 have?
6000 has 40 factors (20 factor pairs).
What is the sum of the factors of 6000?
19344.
Is 6000 a prime number?
No. It is divisible by 2, so 6000 = 2 × 3000.