Factors of 1584
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584. It has 30 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1584 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1584 ≈ 39.80; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 30 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4836. Without 1584 itself that is 3252, so 1584 is an abundant number.
LaTeX source of the formulas on this page
\[ 1584 = 2^{4} \times 3^{2} \times 11 \]Factor pairs of 1584
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1584 | 1 × 1584 = 1584 |
| 2 | 792 | 2 × 792 = 1584 |
| 3 | 528 | 3 × 528 = 1584 |
| 4 | 396 | 4 × 396 = 1584 |
| 6 | 264 | 6 × 264 = 1584 |
| 8 | 198 | 8 × 198 = 1584 |
| 9 | 176 | 9 × 176 = 1584 |
| 11 | 144 | 11 × 144 = 1584 |
| 12 | 132 | 12 × 132 = 1584 |
| 16 | 99 | 16 × 99 = 1584 |
| 18 | 88 | 18 × 88 = 1584 |
| 22 | 72 | 22 × 72 = 1584 |
| 24 | 66 | 24 × 66 = 1584 |
| 33 | 48 | 33 × 48 = 1584 |
| 36 | 44 | 36 × 44 = 1584 |
Questions
What are the factors of 1584?
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584. It has 30 factors.
What are the prime factors of 1584?
2, 3, 11. As a product: × × 11.
How many factors does 1584 have?
1584 has 30 factors (15 factor pairs).
What is the sum of the factors of 1584?
4836.
Is 1584 a prime number?
No. It is divisible by 2, so 1584 = 2 × 792.