Factors of 3510
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3510 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3510 ≈ 59.25; 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 10080. Without 3510 itself that is 6570, so 3510 is an abundant number.
LaTeX source of the formulas on this page
\[ 3510 = 2 \times 3^{3} \times 5 \times 13 \]Factor pairs of 3510
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3510 | 1 × 3510 = 3510 |
| 2 | 1755 | 2 × 1755 = 3510 |
| 3 | 1170 | 3 × 1170 = 3510 |
| 5 | 702 | 5 × 702 = 3510 |
| 6 | 585 | 6 × 585 = 3510 |
| 9 | 390 | 9 × 390 = 3510 |
| 10 | 351 | 10 × 351 = 3510 |
| 13 | 270 | 13 × 270 = 3510 |
| 15 | 234 | 15 × 234 = 3510 |
| 18 | 195 | 18 × 195 = 3510 |
| 26 | 135 | 26 × 135 = 3510 |
| 27 | 130 | 27 × 130 = 3510 |
| 30 | 117 | 30 × 117 = 3510 |
| 39 | 90 | 39 × 90 = 3510 |
| 45 | 78 | 45 × 78 = 3510 |
| 54 | 65 | 54 × 65 = 3510 |
Questions
What are the factors of 3510?
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510. It has 32 factors.
What are the prime factors of 3510?
2, 3, 5, 13. As a product: 2 × × 5 × 13.
How many factors does 3510 have?
3510 has 32 factors (16 factor pairs).
What is the sum of the factors of 3510?
10080.
Is 3510 a prime number?
No. It is divisible by 2, so 3510 = 2 × 1755.