Factors of 1092
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1092 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1092 ≈ 33.05; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 3136. Without 1092 itself that is 2044, so 1092 is an abundant number.
LaTeX source of the formulas on this page
\[ 1092 = 2^{2} \times 3 \times 7 \times 13 \]Factor pairs of 1092
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1092 | 1 × 1092 = 1092 |
| 2 | 546 | 2 × 546 = 1092 |
| 3 | 364 | 3 × 364 = 1092 |
| 4 | 273 | 4 × 273 = 1092 |
| 6 | 182 | 6 × 182 = 1092 |
| 7 | 156 | 7 × 156 = 1092 |
| 12 | 91 | 12 × 91 = 1092 |
| 13 | 84 | 13 × 84 = 1092 |
| 14 | 78 | 14 × 78 = 1092 |
| 21 | 52 | 21 × 52 = 1092 |
| 26 | 42 | 26 × 42 = 1092 |
| 28 | 39 | 28 × 39 = 1092 |
Questions
What are the factors of 1092?
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. It has 24 factors.
What are the prime factors of 1092?
2, 3, 7, 13. As a product: × 3 × 7 × 13.
How many factors does 1092 have?
1092 has 24 factors (12 factor pairs).
What is the sum of the factors of 1092?
3136.
Is 1092 a prime number?
No. It is divisible by 2, so 1092 = 2 × 546.