Factors of 3680
The factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3680 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3680 ≈ 60.66; 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 9072. Without 3680 itself that is 5392, so 3680 is an abundant number.
LaTeX source of the formulas on this page
\[ 3680 = 2^{5} \times 5 \times 23 \]Factor pairs of 3680
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3680 | 1 × 3680 = 3680 |
| 2 | 1840 | 2 × 1840 = 3680 |
| 4 | 920 | 4 × 920 = 3680 |
| 5 | 736 | 5 × 736 = 3680 |
| 8 | 460 | 8 × 460 = 3680 |
| 10 | 368 | 10 × 368 = 3680 |
| 16 | 230 | 16 × 230 = 3680 |
| 20 | 184 | 20 × 184 = 3680 |
| 23 | 160 | 23 × 160 = 3680 |
| 32 | 115 | 32 × 115 = 3680 |
| 40 | 92 | 40 × 92 = 3680 |
| 46 | 80 | 46 × 80 = 3680 |
Questions
What are the factors of 3680?
The factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. It has 24 factors.
What are the prime factors of 3680?
2, 5, 23. As a product: × 5 × 23.
How many factors does 3680 have?
3680 has 24 factors (12 factor pairs).
What is the sum of the factors of 3680?
9072.
Is 3680 a prime number?
No. It is divisible by 2, so 3680 = 2 × 1840.