Factors of 558
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 558 is a whole number that divides it with nothing left over. You only need to test the numbers up to √558 ≈ 23.62; 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 + 18 + 31 + 62 + 93 + 186 + 279 + 558 = 1248. Without 558 itself that is 690, so 558 is an abundant number.
LaTeX source of the formulas on this page
\[ 558 = 2 \times 3^{2} \times 31 \]Factor pairs of 558
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 558 | 1 × 558 = 558 |
| 2 | 279 | 2 × 279 = 558 |
| 3 | 186 | 3 × 186 = 558 |
| 6 | 93 | 6 × 93 = 558 |
| 9 | 62 | 9 × 62 = 558 |
| 18 | 31 | 18 × 31 = 558 |
Questions
What are the factors of 558?
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. It has 12 factors.
What are the prime factors of 558?
2, 3, 31. As a product: 2 × × 31.
How many factors does 558 have?
558 has 12 factors (6 factor pairs).
What is the sum of the factors of 558?
1248.
Is 558 a prime number?
No. It is divisible by 2, so 558 = 2 × 279.