Factors of 3540
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3540 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3540 ≈ 59.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10080. Without 3540 itself that is 6540, so 3540 is an abundant number.
LaTeX source of the formulas on this page
\[ 3540 = 2^{2} \times 3 \times 5 \times 59 \]Factor pairs of 3540
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3540 | 1 × 3540 = 3540 |
| 2 | 1770 | 2 × 1770 = 3540 |
| 3 | 1180 | 3 × 1180 = 3540 |
| 4 | 885 | 4 × 885 = 3540 |
| 5 | 708 | 5 × 708 = 3540 |
| 6 | 590 | 6 × 590 = 3540 |
| 10 | 354 | 10 × 354 = 3540 |
| 12 | 295 | 12 × 295 = 3540 |
| 15 | 236 | 15 × 236 = 3540 |
| 20 | 177 | 20 × 177 = 3540 |
| 30 | 118 | 30 × 118 = 3540 |
| 59 | 60 | 59 × 60 = 3540 |
Questions
What are the factors of 3540?
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. It has 24 factors.
What are the prime factors of 3540?
2, 3, 5, 59. As a product: × 3 × 5 × 59.
How many factors does 3540 have?
3540 has 24 factors (12 factor pairs).
What is the sum of the factors of 3540?
10080.
Is 3540 a prime number?
No. It is divisible by 2, so 3540 = 2 × 1770.