Factors of 3980
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3980 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3980 ≈ 63.09; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 5 + 10 + 20 + 199 + 398 + 796 + 995 + 1990 + 3980 = 8400. Without 3980 itself that is 4420, so 3980 is an abundant number.
LaTeX source of the formulas on this page
\[ 3980 = 2^{2} \times 5 \times 199 \]Factor pairs of 3980
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3980 | 1 × 3980 = 3980 |
| 2 | 1990 | 2 × 1990 = 3980 |
| 4 | 995 | 4 × 995 = 3980 |
| 5 | 796 | 5 × 796 = 3980 |
| 10 | 398 | 10 × 398 = 3980 |
| 20 | 199 | 20 × 199 = 3980 |
Questions
What are the factors of 3980?
The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. It has 12 factors.
What are the prime factors of 3980?
2, 5, 199. As a product: × 5 × 199.
How many factors does 3980 have?
3980 has 12 factors (6 factor pairs).
What is the sum of the factors of 3980?
8400.
Is 3980 a prime number?
No. It is divisible by 2, so 3980 = 2 × 1990.