Factors of 198
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 198 is a whole number that divides it with nothing left over. You only need to test the numbers up to √198 ≈ 14.07; 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 + 3 + 6 + 9 + 11 + 18 + 22 + 33 + 66 + 99 + 198 = 468. Without 198 itself that is 270, so 198 is an abundant number.
LaTeX source of the formulas on this page
\[ 198 = 2 \times 3^{2} \times 11 \]Factor pairs of 198
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 198 | 1 × 198 = 198 |
| 2 | 99 | 2 × 99 = 198 |
| 3 | 66 | 3 × 66 = 198 |
| 6 | 33 | 6 × 33 = 198 |
| 9 | 22 | 9 × 22 = 198 |
| 11 | 18 | 11 × 18 = 198 |
Questions
What are the factors of 198?
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. It has 12 factors.
What are the prime factors of 198?
2, 3, 11. As a product: 2 × × 11.
How many factors does 198 have?
198 has 12 factors (6 factor pairs).
What is the sum of the factors of 198?
468.
Is 198 a prime number?
No. It is divisible by 2, so 198 = 2 × 99.