Factors of 3304
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3304 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3304 ≈ 57.48; 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 3304 itself that is 3896, so 3304 is an abundant number.
LaTeX source of the formulas on this page
\[ 3304 = 2^{3} \times 7 \times 59 \]Factor pairs of 3304
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3304 | 1 × 3304 = 3304 |
| 2 | 1652 | 2 × 1652 = 3304 |
| 4 | 826 | 4 × 826 = 3304 |
| 7 | 472 | 7 × 472 = 3304 |
| 8 | 413 | 8 × 413 = 3304 |
| 14 | 236 | 14 × 236 = 3304 |
| 28 | 118 | 28 × 118 = 3304 |
| 56 | 59 | 56 × 59 = 3304 |
Questions
What are the factors of 3304?
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. It has 16 factors.
What are the prime factors of 3304?
2, 7, 59. As a product: × 7 × 59.
How many factors does 3304 have?
3304 has 16 factors (8 factor pairs).
What is the sum of the factors of 3304?
7200.
Is 3304 a prime number?
No. It is divisible by 2, so 3304 = 2 × 1652.