Factors of 8832
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8832 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8832 ≈ 93.98; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 24480. Without 8832 itself that is 15648, so 8832 is an abundant number.
LaTeX source of the formulas on this page
\[ 8832 = 2^{7} \times 3 \times 23 \]Factor pairs of 8832
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8832 | 1 × 8832 = 8832 |
| 2 | 4416 | 2 × 4416 = 8832 |
| 3 | 2944 | 3 × 2944 = 8832 |
| 4 | 2208 | 4 × 2208 = 8832 |
| 6 | 1472 | 6 × 1472 = 8832 |
| 8 | 1104 | 8 × 1104 = 8832 |
| 12 | 736 | 12 × 736 = 8832 |
| 16 | 552 | 16 × 552 = 8832 |
| 23 | 384 | 23 × 384 = 8832 |
| 24 | 368 | 24 × 368 = 8832 |
| 32 | 276 | 32 × 276 = 8832 |
| 46 | 192 | 46 × 192 = 8832 |
| 48 | 184 | 48 × 184 = 8832 |
| 64 | 138 | 64 × 138 = 8832 |
| 69 | 128 | 69 × 128 = 8832 |
| 92 | 96 | 92 × 96 = 8832 |
Questions
What are the factors of 8832?
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832. It has 32 factors.
What are the prime factors of 8832?
2, 3, 23. As a product: × 3 × 23.
How many factors does 8832 have?
8832 has 32 factors (16 factor pairs).
What is the sum of the factors of 8832?
24480.
Is 8832 a prime number?
No. It is divisible by 2, so 8832 = 2 × 4416.