Factors of 9888
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9888 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9888 ≈ 99.44; 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 26208. Without 9888 itself that is 16320, so 9888 is an abundant number.
LaTeX source of the formulas on this page
\[ 9888 = 2^{5} \times 3 \times 103 \]Factor pairs of 9888
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9888 | 1 × 9888 = 9888 |
| 2 | 4944 | 2 × 4944 = 9888 |
| 3 | 3296 | 3 × 3296 = 9888 |
| 4 | 2472 | 4 × 2472 = 9888 |
| 6 | 1648 | 6 × 1648 = 9888 |
| 8 | 1236 | 8 × 1236 = 9888 |
| 12 | 824 | 12 × 824 = 9888 |
| 16 | 618 | 16 × 618 = 9888 |
| 24 | 412 | 24 × 412 = 9888 |
| 32 | 309 | 32 × 309 = 9888 |
| 48 | 206 | 48 × 206 = 9888 |
| 96 | 103 | 96 × 103 = 9888 |
Questions
What are the factors of 9888?
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. It has 24 factors.
What are the prime factors of 9888?
2, 3, 103. As a product: × 3 × 103.
How many factors does 9888 have?
9888 has 24 factors (12 factor pairs).
What is the sum of the factors of 9888?
26208.
Is 9888 a prime number?
No. It is divisible by 2, so 9888 = 2 × 4944.