Factors of 1740
The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1740 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1740 ≈ 41.71; 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 5040. Without 1740 itself that is 3300, so 1740 is an abundant number.
LaTeX source of the formulas on this page
\[ 1740 = 2^{2} \times 3 \times 5 \times 29 \]Factor pairs of 1740
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1740 | 1 × 1740 = 1740 |
| 2 | 870 | 2 × 870 = 1740 |
| 3 | 580 | 3 × 580 = 1740 |
| 4 | 435 | 4 × 435 = 1740 |
| 5 | 348 | 5 × 348 = 1740 |
| 6 | 290 | 6 × 290 = 1740 |
| 10 | 174 | 10 × 174 = 1740 |
| 12 | 145 | 12 × 145 = 1740 |
| 15 | 116 | 15 × 116 = 1740 |
| 20 | 87 | 20 × 87 = 1740 |
| 29 | 60 | 29 × 60 = 1740 |
| 30 | 58 | 30 × 58 = 1740 |
Questions
What are the factors of 1740?
The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. It has 24 factors.
What are the prime factors of 1740?
2, 3, 5, 29. As a product: × 3 × 5 × 29.
How many factors does 1740 have?
1740 has 24 factors (12 factor pairs).
What is the sum of the factors of 1740?
5040.
Is 1740 a prime number?
No. It is divisible by 2, so 1740 = 2 × 870.