Factors of 9912
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9912 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9912 ≈ 99.56; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 28800. Without 9912 itself that is 18888, so 9912 is an abundant number.
LaTeX source of the formulas on this page
\[ 9912 = 2^{3} \times 3 \times 7 \times 59 \]Factor pairs of 9912
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9912 | 1 × 9912 = 9912 |
| 2 | 4956 | 2 × 4956 = 9912 |
| 3 | 3304 | 3 × 3304 = 9912 |
| 4 | 2478 | 4 × 2478 = 9912 |
| 6 | 1652 | 6 × 1652 = 9912 |
| 7 | 1416 | 7 × 1416 = 9912 |
| 8 | 1239 | 8 × 1239 = 9912 |
| 12 | 826 | 12 × 826 = 9912 |
| 14 | 708 | 14 × 708 = 9912 |
| 21 | 472 | 21 × 472 = 9912 |
| 24 | 413 | 24 × 413 = 9912 |
| 28 | 354 | 28 × 354 = 9912 |
| 42 | 236 | 42 × 236 = 9912 |
| 56 | 177 | 56 × 177 = 9912 |
| 59 | 168 | 59 × 168 = 9912 |
| 84 | 118 | 84 × 118 = 9912 |
Questions
What are the factors of 9912?
The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912. It has 32 factors.
What are the prime factors of 9912?
2, 3, 7, 59. As a product: × 3 × 7 × 59.
How many factors does 9912 have?
9912 has 32 factors (16 factor pairs).
What is the sum of the factors of 9912?
28800.
Is 9912 a prime number?
No. It is divisible by 2, so 9912 = 2 × 4956.