Factors of 3402
The factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3402 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3402 ≈ 58.33; 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 8736. Without 3402 itself that is 5334, so 3402 is an abundant number.
LaTeX source of the formulas on this page
\[ 3402 = 2 \times 3^{5} \times 7 \]Factor pairs of 3402
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3402 | 1 × 3402 = 3402 |
| 2 | 1701 | 2 × 1701 = 3402 |
| 3 | 1134 | 3 × 1134 = 3402 |
| 6 | 567 | 6 × 567 = 3402 |
| 7 | 486 | 7 × 486 = 3402 |
| 9 | 378 | 9 × 378 = 3402 |
| 14 | 243 | 14 × 243 = 3402 |
| 18 | 189 | 18 × 189 = 3402 |
| 21 | 162 | 21 × 162 = 3402 |
| 27 | 126 | 27 × 126 = 3402 |
| 42 | 81 | 42 × 81 = 3402 |
| 54 | 63 | 54 × 63 = 3402 |
Questions
What are the factors of 3402?
The factors of 3402 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402. It has 24 factors.
What are the prime factors of 3402?
2, 3, 7. As a product: 2 × × 7.
How many factors does 3402 have?
3402 has 24 factors (12 factor pairs).
What is the sum of the factors of 3402?
8736.
Is 3402 a prime number?
No. It is divisible by 2, so 3402 = 2 × 1701.