Factors of 3444
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3444 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3444 ≈ 58.69; 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 9408. Without 3444 itself that is 5964, so 3444 is an abundant number.
LaTeX source of the formulas on this page
\[ 3444 = 2^{2} \times 3 \times 7 \times 41 \]Factor pairs of 3444
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3444 | 1 × 3444 = 3444 |
| 2 | 1722 | 2 × 1722 = 3444 |
| 3 | 1148 | 3 × 1148 = 3444 |
| 4 | 861 | 4 × 861 = 3444 |
| 6 | 574 | 6 × 574 = 3444 |
| 7 | 492 | 7 × 492 = 3444 |
| 12 | 287 | 12 × 287 = 3444 |
| 14 | 246 | 14 × 246 = 3444 |
| 21 | 164 | 21 × 164 = 3444 |
| 28 | 123 | 28 × 123 = 3444 |
| 41 | 84 | 41 × 84 = 3444 |
| 42 | 82 | 42 × 82 = 3444 |
Questions
What are the factors of 3444?
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. It has 24 factors.
What are the prime factors of 3444?
2, 3, 7, 41. As a product: × 3 × 7 × 41.
How many factors does 3444 have?
3444 has 24 factors (12 factor pairs).
What is the sum of the factors of 3444?
9408.
Is 3444 a prime number?
No. It is divisible by 2, so 3444 = 2 × 1722.