Factors of 3360
The factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3360 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3360 ≈ 57.97; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 48 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 12096. Without 3360 itself that is 8736, so 3360 is an abundant number.
LaTeX source of the formulas on this page
\[ 3360 = 2^{5} \times 3 \times 5 \times 7 \]Factor pairs of 3360
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3360 | 1 × 3360 = 3360 |
| 2 | 1680 | 2 × 1680 = 3360 |
| 3 | 1120 | 3 × 1120 = 3360 |
| 4 | 840 | 4 × 840 = 3360 |
| 5 | 672 | 5 × 672 = 3360 |
| 6 | 560 | 6 × 560 = 3360 |
| 7 | 480 | 7 × 480 = 3360 |
| 8 | 420 | 8 × 420 = 3360 |
| 10 | 336 | 10 × 336 = 3360 |
| 12 | 280 | 12 × 280 = 3360 |
| 14 | 240 | 14 × 240 = 3360 |
| 15 | 224 | 15 × 224 = 3360 |
| 16 | 210 | 16 × 210 = 3360 |
| 20 | 168 | 20 × 168 = 3360 |
| 21 | 160 | 21 × 160 = 3360 |
| 24 | 140 | 24 × 140 = 3360 |
| 28 | 120 | 28 × 120 = 3360 |
| 30 | 112 | 30 × 112 = 3360 |
| 32 | 105 | 32 × 105 = 3360 |
| 35 | 96 | 35 × 96 = 3360 |
| 40 | 84 | 40 × 84 = 3360 |
| 42 | 80 | 42 × 80 = 3360 |
| 48 | 70 | 48 × 70 = 3360 |
| 56 | 60 | 56 × 60 = 3360 |
Questions
What are the factors of 3360?
The factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. It has 48 factors.
What are the prime factors of 3360?
2, 3, 5, 7. As a product: × 3 × 5 × 7.
How many factors does 3360 have?
3360 has 48 factors (24 factor pairs).
What is the sum of the factors of 3360?
12096.
Is 3360 a prime number?
No. It is divisible by 2, so 3360 = 2 × 1680.