Factors of 1540
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1540 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1540 ≈ 39.24; 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 4032. Without 1540 itself that is 2492, so 1540 is an abundant number.
LaTeX source of the formulas on this page
\[ 1540 = 2^{2} \times 5 \times 7 \times 11 \]Factor pairs of 1540
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1540 | 1 × 1540 = 1540 |
| 2 | 770 | 2 × 770 = 1540 |
| 4 | 385 | 4 × 385 = 1540 |
| 5 | 308 | 5 × 308 = 1540 |
| 7 | 220 | 7 × 220 = 1540 |
| 10 | 154 | 10 × 154 = 1540 |
| 11 | 140 | 11 × 140 = 1540 |
| 14 | 110 | 14 × 110 = 1540 |
| 20 | 77 | 20 × 77 = 1540 |
| 22 | 70 | 22 × 70 = 1540 |
| 28 | 55 | 28 × 55 = 1540 |
| 35 | 44 | 35 × 44 = 1540 |
Questions
What are the factors of 1540?
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. It has 24 factors.
What are the prime factors of 1540?
2, 5, 7, 11. As a product: × 5 × 7 × 11.
How many factors does 1540 have?
1540 has 24 factors (12 factor pairs).
What is the sum of the factors of 1540?
4032.
Is 1540 a prime number?
No. It is divisible by 2, so 1540 = 2 × 770.