Factors of 3420
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420. It has 36 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3420 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3420 ≈ 58.48; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 36 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 10920. Without 3420 itself that is 7500, so 3420 is an abundant number.
LaTeX source of the formulas on this page
\[ 3420 = 2^{2} \times 3^{2} \times 5 \times 19 \]Factor pairs of 3420
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3420 | 1 × 3420 = 3420 |
| 2 | 1710 | 2 × 1710 = 3420 |
| 3 | 1140 | 3 × 1140 = 3420 |
| 4 | 855 | 4 × 855 = 3420 |
| 5 | 684 | 5 × 684 = 3420 |
| 6 | 570 | 6 × 570 = 3420 |
| 9 | 380 | 9 × 380 = 3420 |
| 10 | 342 | 10 × 342 = 3420 |
| 12 | 285 | 12 × 285 = 3420 |
| 15 | 228 | 15 × 228 = 3420 |
| 18 | 190 | 18 × 190 = 3420 |
| 19 | 180 | 19 × 180 = 3420 |
| 20 | 171 | 20 × 171 = 3420 |
| 30 | 114 | 30 × 114 = 3420 |
| 36 | 95 | 36 × 95 = 3420 |
| 38 | 90 | 38 × 90 = 3420 |
| 45 | 76 | 45 × 76 = 3420 |
| 57 | 60 | 57 × 60 = 3420 |
Questions
What are the factors of 3420?
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420. It has 36 factors.
What are the prime factors of 3420?
2, 3, 5, 19. As a product: × × 5 × 19.
How many factors does 3420 have?
3420 has 36 factors (18 factor pairs).
What is the sum of the factors of 3420?
10920.
Is 3420 a prime number?
No. It is divisible by 2, so 3420 = 2 × 1710.