Factors of 2208
The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2208 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2208 ≈ 46.99; 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 6048. Without 2208 itself that is 3840, so 2208 is an abundant number.
LaTeX source of the formulas on this page
\[ 2208 = 2^{5} \times 3 \times 23 \]Factor pairs of 2208
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2208 | 1 × 2208 = 2208 |
| 2 | 1104 | 2 × 1104 = 2208 |
| 3 | 736 | 3 × 736 = 2208 |
| 4 | 552 | 4 × 552 = 2208 |
| 6 | 368 | 6 × 368 = 2208 |
| 8 | 276 | 8 × 276 = 2208 |
| 12 | 184 | 12 × 184 = 2208 |
| 16 | 138 | 16 × 138 = 2208 |
| 23 | 96 | 23 × 96 = 2208 |
| 24 | 92 | 24 × 92 = 2208 |
| 32 | 69 | 32 × 69 = 2208 |
| 46 | 48 | 46 × 48 = 2208 |
Questions
What are the factors of 2208?
The factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. It has 24 factors.
What are the prime factors of 2208?
2, 3, 23. As a product: × 3 × 23.
How many factors does 2208 have?
2208 has 24 factors (12 factor pairs).
What is the sum of the factors of 2208?
6048.
Is 2208 a prime number?
No. It is divisible by 2, so 2208 = 2 × 1104.