Factors of 1089
The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. It has 9 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1089 is a whole number that divides it with nothing left over. You only need to test the numbers up to ā1089 ā 33.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 9 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 3 + 9 + 11 + 33 + 99 + 121 + 363 + 1089 = 1729. Without 1089 itself that is 640, so 1089 is a deficient number.
LaTeX source of the formulas on this page
\[ 1089 = 3^{2} \times 11^{2} \]Factor pairs of 1089
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1089 | 1 Ć 1089 = 1089 |
| 3 | 363 | 3 Ć 363 = 1089 |
| 9 | 121 | 9 Ć 121 = 1089 |
| 11 | 99 | 11 Ć 99 = 1089 |
| 33 | 33 | 33 Ć 33 = 1089 |
Questions
What are the factors of 1089?
The factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. It has 9 factors.
What are the prime factors of 1089?
3, 11. As a product: Ć .
How many factors does 1089 have?
1089 has 9 factors (5 factor pairs, one of them 33 Ć 33).
What is the sum of the factors of 1089?
1729.
Is 1089 a prime number?
No. It is divisible by 3, so 1089 = 3 Ć 363.