Factors of 2340
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2340 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2340 ≈ 48.37; 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 7644. Without 2340 itself that is 5304, so 2340 is an abundant number.
LaTeX source of the formulas on this page
\[ 2340 = 2^{2} \times 3^{2} \times 5 \times 13 \]Factor pairs of 2340
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2340 | 1 × 2340 = 2340 |
| 2 | 1170 | 2 × 1170 = 2340 |
| 3 | 780 | 3 × 780 = 2340 |
| 4 | 585 | 4 × 585 = 2340 |
| 5 | 468 | 5 × 468 = 2340 |
| 6 | 390 | 6 × 390 = 2340 |
| 9 | 260 | 9 × 260 = 2340 |
| 10 | 234 | 10 × 234 = 2340 |
| 12 | 195 | 12 × 195 = 2340 |
| 13 | 180 | 13 × 180 = 2340 |
| 15 | 156 | 15 × 156 = 2340 |
| 18 | 130 | 18 × 130 = 2340 |
| 20 | 117 | 20 × 117 = 2340 |
| 26 | 90 | 26 × 90 = 2340 |
| 30 | 78 | 30 × 78 = 2340 |
| 36 | 65 | 36 × 65 = 2340 |
| 39 | 60 | 39 × 60 = 2340 |
| 45 | 52 | 45 × 52 = 2340 |
Questions
What are the factors of 2340?
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340. It has 36 factors.
What are the prime factors of 2340?
2, 3, 5, 13. As a product: × × 5 × 13.
How many factors does 2340 have?
2340 has 36 factors (18 factor pairs).
What is the sum of the factors of 2340?
7644.
Is 2340 a prime number?
No. It is divisible by 2, so 2340 = 2 × 1170.