Factors of 3780
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3780 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3780 ≈ 61.48; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 13440. Without 3780 itself that is 9660, so 3780 is an abundant number.
LaTeX source of the formulas on this page
\[ 3780 = 2^{2} \times 3^{3} \times 5 \times 7 \]Factor pairs of 3780
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3780 | 1 × 3780 = 3780 |
| 2 | 1890 | 2 × 1890 = 3780 |
| 3 | 1260 | 3 × 1260 = 3780 |
| 4 | 945 | 4 × 945 = 3780 |
| 5 | 756 | 5 × 756 = 3780 |
| 6 | 630 | 6 × 630 = 3780 |
| 7 | 540 | 7 × 540 = 3780 |
| 9 | 420 | 9 × 420 = 3780 |
| 10 | 378 | 10 × 378 = 3780 |
| 12 | 315 | 12 × 315 = 3780 |
| 14 | 270 | 14 × 270 = 3780 |
| 15 | 252 | 15 × 252 = 3780 |
| 18 | 210 | 18 × 210 = 3780 |
| 20 | 189 | 20 × 189 = 3780 |
| 21 | 180 | 21 × 180 = 3780 |
| 27 | 140 | 27 × 140 = 3780 |
| 28 | 135 | 28 × 135 = 3780 |
| 30 | 126 | 30 × 126 = 3780 |
| 35 | 108 | 35 × 108 = 3780 |
| 36 | 105 | 36 × 105 = 3780 |
| 42 | 90 | 42 × 90 = 3780 |
| 45 | 84 | 45 × 84 = 3780 |
| 54 | 70 | 54 × 70 = 3780 |
| 60 | 63 | 60 × 63 = 3780 |
Questions
What are the factors of 3780?
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780. It has 48 factors.
What are the prime factors of 3780?
2, 3, 5, 7. As a product: × × 5 × 7.
How many factors does 3780 have?
3780 has 48 factors (24 factor pairs).
What is the sum of the factors of 3780?
13440.
Is 3780 a prime number?
No. It is divisible by 2, so 3780 = 2 × 1890.