Factors of 9876
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9876 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9876 ≈ 99.38; 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 + 3 + 4 + 6 + 12 + 823 + 1646 + 2469 + 3292 + 4938 + 9876 = 23072. Without 9876 itself that is 13196, so 9876 is an abundant number.
LaTeX source of the formulas on this page
\[ 9876 = 2^{2} \times 3 \times 823 \]Factor pairs of 9876
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9876 | 1 × 9876 = 9876 |
| 2 | 4938 | 2 × 4938 = 9876 |
| 3 | 3292 | 3 × 3292 = 9876 |
| 4 | 2469 | 4 × 2469 = 9876 |
| 6 | 1646 | 6 × 1646 = 9876 |
| 12 | 823 | 12 × 823 = 9876 |
Questions
What are the factors of 9876?
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. It has 12 factors.
What are the prime factors of 9876?
2, 3, 823. As a product: × 3 × 823.
How many factors does 9876 have?
9876 has 12 factors (6 factor pairs).
What is the sum of the factors of 9876?
23072.
Is 9876 a prime number?
No. It is divisible by 2, so 9876 = 2 × 4938.