Factors of 3408
The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3408 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3408 ≈ 58.38; 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 8928. Without 3408 itself that is 5520, so 3408 is an abundant number.
LaTeX source of the formulas on this page
\[ 3408 = 2^{4} \times 3 \times 71 \]Factor pairs of 3408
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3408 | 1 × 3408 = 3408 |
| 2 | 1704 | 2 × 1704 = 3408 |
| 3 | 1136 | 3 × 1136 = 3408 |
| 4 | 852 | 4 × 852 = 3408 |
| 6 | 568 | 6 × 568 = 3408 |
| 8 | 426 | 8 × 426 = 3408 |
| 12 | 284 | 12 × 284 = 3408 |
| 16 | 213 | 16 × 213 = 3408 |
| 24 | 142 | 24 × 142 = 3408 |
| 48 | 71 | 48 × 71 = 3408 |
Questions
What are the factors of 3408?
The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. It has 20 factors.
What are the prime factors of 3408?
2, 3, 71. As a product: × 3 × 71.
How many factors does 3408 have?
3408 has 20 factors (10 factor pairs).
What is the sum of the factors of 3408?
8928.
Is 3408 a prime number?
No. It is divisible by 2, so 3408 = 2 × 1704.