Factors of 1122
The factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1122 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1122 ≈ 33.50; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2592. Without 1122 itself that is 1470, so 1122 is an abundant number.
LaTeX source of the formulas on this page
\[ 1122 = 2 \times 3 \times 11 \times 17 \]
Factor pairs of 1122
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1122 | 1 × 1122 = 1122 |
| 2 | 561 | 2 × 561 = 1122 |
| 3 | 374 | 3 × 374 = 1122 |
| 6 | 187 | 6 × 187 = 1122 |
| 11 | 102 | 11 × 102 = 1122 |
| 17 | 66 | 17 × 66 = 1122 |
| 22 | 51 | 22 × 51 = 1122 |
| 33 | 34 | 33 × 34 = 1122 |
Questions
What are the factors of 1122?
The factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. It has 16 factors.
What are the prime factors of 1122?
2, 3, 11, 17. As a product: 2 × 3 × 11 × 17.
How many factors does 1122 have?
1122 has 16 factors (8 factor pairs).
What is the sum of the factors of 1122?
2592.
Is 1122 a prime number?
No. It is divisible by 2, so 1122 = 2 × 561.