Factors of 9916
The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916. It has 12 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9916 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9916 ≈ 99.58; 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 + 37 + 67 + 74 + 134 + 148 + 268 + 2479 + 4958 + 9916 = 18088. Without 9916 itself that is 8172, so 9916 is a deficient number.
LaTeX source of the formulas on this page
\[ 9916 = 2^{2} \times 37 \times 67 \]Factor pairs of 9916
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9916 | 1 × 9916 = 9916 |
| 2 | 4958 | 2 × 4958 = 9916 |
| 4 | 2479 | 4 × 2479 = 9916 |
| 37 | 268 | 37 × 268 = 9916 |
| 67 | 148 | 67 × 148 = 9916 |
| 74 | 134 | 74 × 134 = 9916 |
Questions
What are the factors of 9916?
The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916. It has 12 factors.
What are the prime factors of 9916?
2, 37, 67. As a product: × 37 × 67.
How many factors does 9916 have?
9916 has 12 factors (6 factor pairs).
What is the sum of the factors of 9916?
18088.
Is 9916 a prime number?
No. It is divisible by 2, so 9916 = 2 × 4958.