Factors of 9540
The factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9540 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9540 ≈ 97.67; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 29484. Without 9540 itself that is 19944, so 9540 is an abundant number.
LaTeX source of the formulas on this page
\[ 9540 = 2^{2} \times 3^{2} \times 5 \times 53 \]Factor pairs of 9540
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9540 | 1 × 9540 = 9540 |
| 2 | 4770 | 2 × 4770 = 9540 |
| 3 | 3180 | 3 × 3180 = 9540 |
| 4 | 2385 | 4 × 2385 = 9540 |
| 5 | 1908 | 5 × 1908 = 9540 |
| 6 | 1590 | 6 × 1590 = 9540 |
| 9 | 1060 | 9 × 1060 = 9540 |
| 10 | 954 | 10 × 954 = 9540 |
| 12 | 795 | 12 × 795 = 9540 |
| 15 | 636 | 15 × 636 = 9540 |
| 18 | 530 | 18 × 530 = 9540 |
| 20 | 477 | 20 × 477 = 9540 |
| 30 | 318 | 30 × 318 = 9540 |
| 36 | 265 | 36 × 265 = 9540 |
| 45 | 212 | 45 × 212 = 9540 |
| 53 | 180 | 53 × 180 = 9540 |
| 60 | 159 | 60 × 159 = 9540 |
| 90 | 106 | 90 × 106 = 9540 |
Questions
What are the factors of 9540?
The factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540. It has 36 factors.
What are the prime factors of 9540?
2, 3, 5, 53. As a product: × × 5 × 53.
How many factors does 9540 have?
9540 has 36 factors (18 factor pairs).
What is the sum of the factors of 9540?
29484.
Is 9540 a prime number?
No. It is divisible by 2, so 9540 = 2 × 4770.