Factors of 3496
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3496 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3496 ≈ 59.13; 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 7200. Without 3496 itself that is 3704, so 3496 is an abundant number.
LaTeX source of the formulas on this page
\[ 3496 = 2^{3} \times 19 \times 23 \]Factor pairs of 3496
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3496 | 1 × 3496 = 3496 |
| 2 | 1748 | 2 × 1748 = 3496 |
| 4 | 874 | 4 × 874 = 3496 |
| 8 | 437 | 8 × 437 = 3496 |
| 19 | 184 | 19 × 184 = 3496 |
| 23 | 152 | 23 × 152 = 3496 |
| 38 | 92 | 38 × 92 = 3496 |
| 46 | 76 | 46 × 76 = 3496 |
Questions
What are the factors of 3496?
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. It has 16 factors.
What are the prime factors of 3496?
2, 19, 23. As a product: × 19 × 23.
How many factors does 3496 have?
3496 has 16 factors (8 factor pairs).
What is the sum of the factors of 3496?
7200.
Is 3496 a prime number?
No. It is divisible by 2, so 3496 = 2 × 1748.