Factors of 1980
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1980 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1980 ≈ 44.50; 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 6552. Without 1980 itself that is 4572, so 1980 is an abundant number.
LaTeX source of the formulas on this page
\[ 1980 = 2^{2} \times 3^{2} \times 5 \times 11 \]Factor pairs of 1980
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1980 | 1 × 1980 = 1980 |
| 2 | 990 | 2 × 990 = 1980 |
| 3 | 660 | 3 × 660 = 1980 |
| 4 | 495 | 4 × 495 = 1980 |
| 5 | 396 | 5 × 396 = 1980 |
| 6 | 330 | 6 × 330 = 1980 |
| 9 | 220 | 9 × 220 = 1980 |
| 10 | 198 | 10 × 198 = 1980 |
| 11 | 180 | 11 × 180 = 1980 |
| 12 | 165 | 12 × 165 = 1980 |
| 15 | 132 | 15 × 132 = 1980 |
| 18 | 110 | 18 × 110 = 1980 |
| 20 | 99 | 20 × 99 = 1980 |
| 22 | 90 | 22 × 90 = 1980 |
| 30 | 66 | 30 × 66 = 1980 |
| 33 | 60 | 33 × 60 = 1980 |
| 36 | 55 | 36 × 55 = 1980 |
| 44 | 45 | 44 × 45 = 1980 |
Questions
What are the factors of 1980?
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980. It has 36 factors.
What are the prime factors of 1980?
2, 3, 5, 11. As a product: × × 5 × 11.
How many factors does 1980 have?
1980 has 36 factors (18 factor pairs).
What is the sum of the factors of 1980?
6552.
Is 1980 a prime number?
No. It is divisible by 2, so 1980 = 2 × 990.