Factors of 3690
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3690 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3690 ≈ 60.75; 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 9828. Without 3690 itself that is 6138, so 3690 is an abundant number.
LaTeX source of the formulas on this page
\[ 3690 = 2 \times 3^{2} \times 5 \times 41 \]Factor pairs of 3690
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3690 | 1 × 3690 = 3690 |
| 2 | 1845 | 2 × 1845 = 3690 |
| 3 | 1230 | 3 × 1230 = 3690 |
| 5 | 738 | 5 × 738 = 3690 |
| 6 | 615 | 6 × 615 = 3690 |
| 9 | 410 | 9 × 410 = 3690 |
| 10 | 369 | 10 × 369 = 3690 |
| 15 | 246 | 15 × 246 = 3690 |
| 18 | 205 | 18 × 205 = 3690 |
| 30 | 123 | 30 × 123 = 3690 |
| 41 | 90 | 41 × 90 = 3690 |
| 45 | 82 | 45 × 82 = 3690 |
Questions
What are the factors of 3690?
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. It has 24 factors.
What are the prime factors of 3690?
2, 3, 5, 41. As a product: 2 × × 5 × 41.
How many factors does 3690 have?
3690 has 24 factors (12 factor pairs).
What is the sum of the factors of 3690?
9828.
Is 3690 a prime number?
No. It is divisible by 2, so 3690 = 2 × 1845.