Factors of 1116
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1116 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1116 ≈ 33.41; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2912. Without 1116 itself that is 1796, so 1116 is an abundant number.
LaTeX source of the formulas on this page
\[ 1116 = 2^{2} \times 3^{2} \times 31 \]Factor pairs of 1116
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1116 | 1 × 1116 = 1116 |
| 2 | 558 | 2 × 558 = 1116 |
| 3 | 372 | 3 × 372 = 1116 |
| 4 | 279 | 4 × 279 = 1116 |
| 6 | 186 | 6 × 186 = 1116 |
| 9 | 124 | 9 × 124 = 1116 |
| 12 | 93 | 12 × 93 = 1116 |
| 18 | 62 | 18 × 62 = 1116 |
| 31 | 36 | 31 × 36 = 1116 |
Questions
What are the factors of 1116?
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116. It has 18 factors.
What are the prime factors of 1116?
2, 3, 31. As a product: × × 31.
How many factors does 1116 have?
1116 has 18 factors (9 factor pairs).
What is the sum of the factors of 1116?
2912.
Is 1116 a prime number?
No. It is divisible by 2, so 1116 = 2 × 558.