Factors of 2112
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112. It has 28 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2112 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2112 ≈ 45.96; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 28 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 6096. Without 2112 itself that is 3984, so 2112 is an abundant number.
LaTeX source of the formulas on this page
\[ 2112 = 2^{6} \times 3 \times 11 \]Factor pairs of 2112
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2112 | 1 × 2112 = 2112 |
| 2 | 1056 | 2 × 1056 = 2112 |
| 3 | 704 | 3 × 704 = 2112 |
| 4 | 528 | 4 × 528 = 2112 |
| 6 | 352 | 6 × 352 = 2112 |
| 8 | 264 | 8 × 264 = 2112 |
| 11 | 192 | 11 × 192 = 2112 |
| 12 | 176 | 12 × 176 = 2112 |
| 16 | 132 | 16 × 132 = 2112 |
| 22 | 96 | 22 × 96 = 2112 |
| 24 | 88 | 24 × 88 = 2112 |
| 32 | 66 | 32 × 66 = 2112 |
| 33 | 64 | 33 × 64 = 2112 |
| 44 | 48 | 44 × 48 = 2112 |
Questions
What are the factors of 2112?
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112. It has 28 factors.
What are the prime factors of 2112?
2, 3, 11. As a product: × 3 × 11.
How many factors does 2112 have?
2112 has 28 factors (14 factor pairs).
What is the sum of the factors of 2112?
6096.
Is 2112 a prime number?
No. It is divisible by 2, so 2112 = 2 × 1056.