Factors of 7740
The factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7740 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7740 ≈ 87.98; 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 24024. Without 7740 itself that is 16284, so 7740 is an abundant number.
LaTeX source of the formulas on this page
\[ 7740 = 2^{2} \times 3^{2} \times 5 \times 43 \]Factor pairs of 7740
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7740 | 1 × 7740 = 7740 |
| 2 | 3870 | 2 × 3870 = 7740 |
| 3 | 2580 | 3 × 2580 = 7740 |
| 4 | 1935 | 4 × 1935 = 7740 |
| 5 | 1548 | 5 × 1548 = 7740 |
| 6 | 1290 | 6 × 1290 = 7740 |
| 9 | 860 | 9 × 860 = 7740 |
| 10 | 774 | 10 × 774 = 7740 |
| 12 | 645 | 12 × 645 = 7740 |
| 15 | 516 | 15 × 516 = 7740 |
| 18 | 430 | 18 × 430 = 7740 |
| 20 | 387 | 20 × 387 = 7740 |
| 30 | 258 | 30 × 258 = 7740 |
| 36 | 215 | 36 × 215 = 7740 |
| 43 | 180 | 43 × 180 = 7740 |
| 45 | 172 | 45 × 172 = 7740 |
| 60 | 129 | 60 × 129 = 7740 |
| 86 | 90 | 86 × 90 = 7740 |
Questions
What are the factors of 7740?
The factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. It has 36 factors.
What are the prime factors of 7740?
2, 3, 5, 43. As a product: × × 5 × 43.
How many factors does 7740 have?
7740 has 36 factors (18 factor pairs).
What is the sum of the factors of 7740?
24024.
Is 7740 a prime number?
No. It is divisible by 2, so 7740 = 2 × 3870.