Factors of 9968
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 9968 is a whole number that divides it with nothing left over. You only need to test the numbers up to √9968 ≈ 99.84; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 22320. Without 9968 itself that is 12352, so 9968 is an abundant number.
LaTeX source of the formulas on this page
\[ 9968 = 2^{4} \times 7 \times 89 \]Factor pairs of 9968
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 9968 | 1 × 9968 = 9968 |
| 2 | 4984 | 2 × 4984 = 9968 |
| 4 | 2492 | 4 × 2492 = 9968 |
| 7 | 1424 | 7 × 1424 = 9968 |
| 8 | 1246 | 8 × 1246 = 9968 |
| 14 | 712 | 14 × 712 = 9968 |
| 16 | 623 | 16 × 623 = 9968 |
| 28 | 356 | 28 × 356 = 9968 |
| 56 | 178 | 56 × 178 = 9968 |
| 89 | 112 | 89 × 112 = 9968 |
Questions
What are the factors of 9968?
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968. It has 20 factors.
What are the prime factors of 9968?
2, 7, 89. As a product: × 7 × 89.
How many factors does 9968 have?
9968 has 20 factors (10 factor pairs).
What is the sum of the factors of 9968?
22320.
Is 9968 a prime number?
No. It is divisible by 2, so 9968 = 2 × 4984.