Factors of 3024
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. It has 40 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3024 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3024 ≈ 54.99; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 40 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 9920. Without 3024 itself that is 6896, so 3024 is an abundant number.
LaTeX source of the formulas on this page
\[ 3024 = 2^{4} \times 3^{3} \times 7 \]Factor pairs of 3024
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3024 | 1 × 3024 = 3024 |
| 2 | 1512 | 2 × 1512 = 3024 |
| 3 | 1008 | 3 × 1008 = 3024 |
| 4 | 756 | 4 × 756 = 3024 |
| 6 | 504 | 6 × 504 = 3024 |
| 7 | 432 | 7 × 432 = 3024 |
| 8 | 378 | 8 × 378 = 3024 |
| 9 | 336 | 9 × 336 = 3024 |
| 12 | 252 | 12 × 252 = 3024 |
| 14 | 216 | 14 × 216 = 3024 |
| 16 | 189 | 16 × 189 = 3024 |
| 18 | 168 | 18 × 168 = 3024 |
| 21 | 144 | 21 × 144 = 3024 |
| 24 | 126 | 24 × 126 = 3024 |
| 27 | 112 | 27 × 112 = 3024 |
| 28 | 108 | 28 × 108 = 3024 |
| 36 | 84 | 36 × 84 = 3024 |
| 42 | 72 | 42 × 72 = 3024 |
| 48 | 63 | 48 × 63 = 3024 |
| 54 | 56 | 54 × 56 = 3024 |
Questions
What are the factors of 3024?
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. It has 40 factors.
What are the prime factors of 3024?
2, 3, 7. As a product: × × 7.
How many factors does 3024 have?
3024 has 40 factors (20 factor pairs).
What is the sum of the factors of 3024?
9920.
Is 3024 a prime number?
No. It is divisible by 2, so 3024 = 2 × 1512.