Factors of 1989
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1989 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1989 ≈ 44.60; 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 + 3 + 9 + 13 + 17 + 39 + 51 + 117 + 153 + 221 + 663 + 1989 = 3276. Without 1989 itself that is 1287, so 1989 is a deficient number.
LaTeX source of the formulas on this page
\[ 1989 = 3^{2} \times 13 \times 17 \]Factor pairs of 1989
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1989 | 1 × 1989 = 1989 |
| 3 | 663 | 3 × 663 = 1989 |
| 9 | 221 | 9 × 221 = 1989 |
| 13 | 153 | 13 × 153 = 1989 |
| 17 | 117 | 17 × 117 = 1989 |
| 39 | 51 | 39 × 51 = 1989 |
Questions
What are the factors of 1989?
The factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. It has 12 factors.
What are the prime factors of 1989?
3, 13, 17. As a product: × 13 × 17.
How many factors does 1989 have?
1989 has 12 factors (6 factor pairs).
What is the sum of the factors of 1989?
3276.
Is 1989 a prime number?
No. It is divisible by 3, so 1989 = 3 × 663.