Factors of 8804
The factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 8804 is a whole number that divides it with nothing left over. You only need to test the numbers up to √8804 ≈ 93.83; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 12 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 4 + 31 + 62 + 71 + 124 + 142 + 284 + 2201 + 4402 + 8804 = 16128. Without 8804 itself that is 7324, so 8804 is a deficient number.
LaTeX source of the formulas on this page
\[ 8804 = 2^{2} \times 31 \times 71 \]Factor pairs of 8804
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 8804 | 1 × 8804 = 8804 |
| 2 | 4402 | 2 × 4402 = 8804 |
| 4 | 2201 | 4 × 2201 = 8804 |
| 31 | 284 | 31 × 284 = 8804 |
| 62 | 142 | 62 × 142 = 8804 |
| 71 | 124 | 71 × 124 = 8804 |
Questions
What are the factors of 8804?
The factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. It has 12 factors.
What are the prime factors of 8804?
2, 31, 71. As a product: × 31 × 71.
How many factors does 8804 have?
8804 has 12 factors (6 factor pairs).
What is the sum of the factors of 8804?
16128.
Is 8804 a prime number?
No. It is divisible by 2, so 8804 = 2 × 4402.