Factors of 9928
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9928 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9928 ≈ 99.64; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 19980. Without 9928 itself that is 10052, so 9928 is an abundant number.
LaTeX source of the formulas on this page
\[ 9928 = 2^{3} \times 17 \times 73 \]Factor pairs of 9928
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9928 | 1 × 9928 = 9928 |
| 2 | 4964 | 2 × 4964 = 9928 |
| 4 | 2482 | 4 × 2482 = 9928 |
| 8 | 1241 | 8 × 1241 = 9928 |
| 17 | 584 | 17 × 584 = 9928 |
| 34 | 292 | 34 × 292 = 9928 |
| 68 | 146 | 68 × 146 = 9928 |
| 73 | 136 | 73 × 136 = 9928 |
Questions
What are the factors of 9928?
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928. It has 16 factors.
What are the prime factors of 9928?
2, 17, 73. As a product: × 17 × 73.
How many factors does 9928 have?
9928 has 16 factors (8 factor pairs).
What is the sum of the factors of 9928?
19980.
Is 9928 a prime number?
No. It is divisible by 2, so 9928 = 2 × 4964.