Factors of 6048
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. It has 48 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 6048 is a whole number that divides it with nothing left over. You only need to test the numbers up to √6048 ≈ 77.77; 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 20160. Without 6048 itself that is 14112, so 6048 is an abundant number.
LaTeX source of the formulas on this page
\[ 6048 = 2^{5} \times 3^{3} \times 7 \]Factor pairs of 6048
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 6048 | 1 × 6048 = 6048 |
| 2 | 3024 | 2 × 3024 = 6048 |
| 3 | 2016 | 3 × 2016 = 6048 |
| 4 | 1512 | 4 × 1512 = 6048 |
| 6 | 1008 | 6 × 1008 = 6048 |
| 7 | 864 | 7 × 864 = 6048 |
| 8 | 756 | 8 × 756 = 6048 |
| 9 | 672 | 9 × 672 = 6048 |
| 12 | 504 | 12 × 504 = 6048 |
| 14 | 432 | 14 × 432 = 6048 |
| 16 | 378 | 16 × 378 = 6048 |
| 18 | 336 | 18 × 336 = 6048 |
| 21 | 288 | 21 × 288 = 6048 |
| 24 | 252 | 24 × 252 = 6048 |
| 27 | 224 | 27 × 224 = 6048 |
| 28 | 216 | 28 × 216 = 6048 |
| 32 | 189 | 32 × 189 = 6048 |
| 36 | 168 | 36 × 168 = 6048 |
| 42 | 144 | 42 × 144 = 6048 |
| 48 | 126 | 48 × 126 = 6048 |
| 54 | 112 | 54 × 112 = 6048 |
| 56 | 108 | 56 × 108 = 6048 |
| 63 | 96 | 63 × 96 = 6048 |
| 72 | 84 | 72 × 84 = 6048 |
Questions
What are the factors of 6048?
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. It has 48 factors.
What are the prime factors of 6048?
2, 3, 7. As a product: × × 7.
How many factors does 6048 have?
6048 has 48 factors (24 factor pairs).
What is the sum of the factors of 6048?
20160.
Is 6048 a prime number?
No. It is divisible by 2, so 6048 = 2 × 3024.