Factors of 1990
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1990 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1990 ≈ 44.61; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 5 + 10 + 199 + 398 + 995 + 1990 = 3600. Without 1990 itself that is 1610, so 1990 is a deficient number.
LaTeX source of the formulas on this page
\[ 1990 = 2 \times 5 \times 199 \]
Factor pairs of 1990
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1990 | 1 × 1990 = 1990 |
| 2 | 995 | 2 × 995 = 1990 |
| 5 | 398 | 5 × 398 = 1990 |
| 10 | 199 | 10 × 199 = 1990 |
Questions
What are the factors of 1990?
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. It has 8 factors.
What are the prime factors of 1990?
2, 5, 199. As a product: 2 × 5 × 199.
How many factors does 1990 have?
1990 has 8 factors (4 factor pairs).
What is the sum of the factors of 1990?
3600.
Is 1990 a prime number?
No. It is divisible by 2, so 1990 = 2 × 995.