Factors of 3000
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3000 ≈ 54.77; 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 9360. Without 3000 itself that is 6360, so 3000 is an abundant number.
LaTeX source of the formulas on this page
\[ 3000 = 2^{3} \times 3 \times 5^{3} \]Factor pairs of 3000
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3000 | 1 × 3000 = 3000 |
| 2 | 1500 | 2 × 1500 = 3000 |
| 3 | 1000 | 3 × 1000 = 3000 |
| 4 | 750 | 4 × 750 = 3000 |
| 5 | 600 | 5 × 600 = 3000 |
| 6 | 500 | 6 × 500 = 3000 |
| 8 | 375 | 8 × 375 = 3000 |
| 10 | 300 | 10 × 300 = 3000 |
| 12 | 250 | 12 × 250 = 3000 |
| 15 | 200 | 15 × 200 = 3000 |
| 20 | 150 | 20 × 150 = 3000 |
| 24 | 125 | 24 × 125 = 3000 |
| 25 | 120 | 25 × 120 = 3000 |
| 30 | 100 | 30 × 100 = 3000 |
| 40 | 75 | 40 × 75 = 3000 |
| 50 | 60 | 50 × 60 = 3000 |
Questions
What are the factors of 3000?
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000. It has 32 factors.
What are the prime factors of 3000?
2, 3, 5. As a product: × 3 × .
How many factors does 3000 have?
3000 has 32 factors (16 factor pairs).
What is the sum of the factors of 3000?
9360.
Is 3000 a prime number?
No. It is divisible by 2, so 3000 = 2 × 1500.