Factors of 3344
The factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3344 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3344 ≈ 57.83; 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 7440. Without 3344 itself that is 4096, so 3344 is an abundant number.
LaTeX source of the formulas on this page
\[ 3344 = 2^{4} \times 11 \times 19 \]Factor pairs of 3344
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3344 | 1 × 3344 = 3344 |
| 2 | 1672 | 2 × 1672 = 3344 |
| 4 | 836 | 4 × 836 = 3344 |
| 8 | 418 | 8 × 418 = 3344 |
| 11 | 304 | 11 × 304 = 3344 |
| 16 | 209 | 16 × 209 = 3344 |
| 19 | 176 | 19 × 176 = 3344 |
| 22 | 152 | 22 × 152 = 3344 |
| 38 | 88 | 38 × 88 = 3344 |
| 44 | 76 | 44 × 76 = 3344 |
Questions
What are the factors of 3344?
The factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344. It has 20 factors.
What are the prime factors of 3344?
2, 11, 19. As a product: × 11 × 19.
How many factors does 3344 have?
3344 has 20 factors (10 factor pairs).
What is the sum of the factors of 3344?
7440.
Is 3344 a prime number?
No. It is divisible by 2, so 3344 = 2 × 1672.