Factors of 3168
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3168 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3168 ≈ 56.28; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9828. Without 3168 itself that is 6660, so 3168 is an abundant number.
LaTeX source of the formulas on this page
\[ 3168 = 2^{5} \times 3^{2} \times 11 \]Factor pairs of 3168
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3168 | 1 × 3168 = 3168 |
| 2 | 1584 | 2 × 1584 = 3168 |
| 3 | 1056 | 3 × 1056 = 3168 |
| 4 | 792 | 4 × 792 = 3168 |
| 6 | 528 | 6 × 528 = 3168 |
| 8 | 396 | 8 × 396 = 3168 |
| 9 | 352 | 9 × 352 = 3168 |
| 11 | 288 | 11 × 288 = 3168 |
| 12 | 264 | 12 × 264 = 3168 |
| 16 | 198 | 16 × 198 = 3168 |
| 18 | 176 | 18 × 176 = 3168 |
| 22 | 144 | 22 × 144 = 3168 |
| 24 | 132 | 24 × 132 = 3168 |
| 32 | 99 | 32 × 99 = 3168 |
| 33 | 96 | 33 × 96 = 3168 |
| 36 | 88 | 36 × 88 = 3168 |
| 44 | 72 | 44 × 72 = 3168 |
| 48 | 66 | 48 × 66 = 3168 |
Questions
What are the factors of 3168?
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. It has 36 factors.
What are the prime factors of 3168?
2, 3, 11. As a product: × × 11.
How many factors does 3168 have?
3168 has 36 factors (18 factor pairs).
What is the sum of the factors of 3168?
9828.
Is 3168 a prime number?
No. It is divisible by 2, so 3168 = 2 × 1584.