Factors of 3410
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3410 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3410 ≈ 58.40; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 6912. Without 3410 itself that is 3502, so 3410 is an abundant number.
LaTeX source of the formulas on this page
\[ 3410 = 2 \times 5 \times 11 \times 31 \]
Factor pairs of 3410
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3410 | 1 × 3410 = 3410 |
| 2 | 1705 | 2 × 1705 = 3410 |
| 5 | 682 | 5 × 682 = 3410 |
| 10 | 341 | 10 × 341 = 3410 |
| 11 | 310 | 11 × 310 = 3410 |
| 22 | 155 | 22 × 155 = 3410 |
| 31 | 110 | 31 × 110 = 3410 |
| 55 | 62 | 55 × 62 = 3410 |
Questions
What are the factors of 3410?
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. It has 16 factors.
What are the prime factors of 3410?
2, 5, 11, 31. As a product: 2 × 5 × 11 × 31.
How many factors does 3410 have?
3410 has 16 factors (8 factor pairs).
What is the sum of the factors of 3410?
6912.
Is 3410 a prime number?
No. It is divisible by 2, so 3410 = 2 × 1705.