Factors of 3366
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3366 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3366 ≈ 58.02; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8424. Without 3366 itself that is 5058, so 3366 is an abundant number.
LaTeX source of the formulas on this page
\[ 3366 = 2 \times 3^{2} \times 11 \times 17 \]Factor pairs of 3366
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3366 | 1 × 3366 = 3366 |
| 2 | 1683 | 2 × 1683 = 3366 |
| 3 | 1122 | 3 × 1122 = 3366 |
| 6 | 561 | 6 × 561 = 3366 |
| 9 | 374 | 9 × 374 = 3366 |
| 11 | 306 | 11 × 306 = 3366 |
| 17 | 198 | 17 × 198 = 3366 |
| 18 | 187 | 18 × 187 = 3366 |
| 22 | 153 | 22 × 153 = 3366 |
| 33 | 102 | 33 × 102 = 3366 |
| 34 | 99 | 34 × 99 = 3366 |
| 51 | 66 | 51 × 66 = 3366 |
Questions
What are the factors of 3366?
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. It has 24 factors.
What are the prime factors of 3366?
2, 3, 11, 17. As a product: 2 × × 11 × 17.
How many factors does 3366 have?
3366 has 24 factors (12 factor pairs).
What is the sum of the factors of 3366?
8424.
Is 3366 a prime number?
No. It is divisible by 2, so 3366 = 2 × 1683.