Factors of 9000
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9000 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9000 ≈ 94.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 30420. Without 9000 itself that is 21420, so 9000 is an abundant number.
LaTeX source of the formulas on this page
\[ 9000 = 2^{3} \times 3^{2} \times 5^{3} \]Factor pairs of 9000
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9000 | 1 × 9000 = 9000 |
| 2 | 4500 | 2 × 4500 = 9000 |
| 3 | 3000 | 3 × 3000 = 9000 |
| 4 | 2250 | 4 × 2250 = 9000 |
| 5 | 1800 | 5 × 1800 = 9000 |
| 6 | 1500 | 6 × 1500 = 9000 |
| 8 | 1125 | 8 × 1125 = 9000 |
| 9 | 1000 | 9 × 1000 = 9000 |
| 10 | 900 | 10 × 900 = 9000 |
| 12 | 750 | 12 × 750 = 9000 |
| 15 | 600 | 15 × 600 = 9000 |
| 18 | 500 | 18 × 500 = 9000 |
| 20 | 450 | 20 × 450 = 9000 |
| 24 | 375 | 24 × 375 = 9000 |
| 25 | 360 | 25 × 360 = 9000 |
| 30 | 300 | 30 × 300 = 9000 |
| 36 | 250 | 36 × 250 = 9000 |
| 40 | 225 | 40 × 225 = 9000 |
| 45 | 200 | 45 × 200 = 9000 |
| 50 | 180 | 50 × 180 = 9000 |
| 60 | 150 | 60 × 150 = 9000 |
| 72 | 125 | 72 × 125 = 9000 |
| 75 | 120 | 75 × 120 = 9000 |
| 90 | 100 | 90 × 100 = 9000 |
Questions
What are the factors of 9000?
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000. It has 48 factors.
What are the prime factors of 9000?
2, 3, 5. As a product: × × .
How many factors does 9000 have?
9000 has 48 factors (24 factor pairs).
What is the sum of the factors of 9000?
30420.
Is 9000 a prime number?
No. It is divisible by 2, so 9000 = 2 × 4500.