Factors of 1824
The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1824 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1824 ≈ 42.71; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 5040. Without 1824 itself that is 3216, so 1824 is an abundant number.
LaTeX source of the formulas on this page
\[ 1824 = 2^{5} \times 3 \times 19 \]Factor pairs of 1824
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1824 | 1 × 1824 = 1824 |
| 2 | 912 | 2 × 912 = 1824 |
| 3 | 608 | 3 × 608 = 1824 |
| 4 | 456 | 4 × 456 = 1824 |
| 6 | 304 | 6 × 304 = 1824 |
| 8 | 228 | 8 × 228 = 1824 |
| 12 | 152 | 12 × 152 = 1824 |
| 16 | 114 | 16 × 114 = 1824 |
| 19 | 96 | 19 × 96 = 1824 |
| 24 | 76 | 24 × 76 = 1824 |
| 32 | 57 | 32 × 57 = 1824 |
| 38 | 48 | 38 × 48 = 1824 |
Questions
What are the factors of 1824?
The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. It has 24 factors.
What are the prime factors of 1824?
2, 3, 19. As a product: × 3 × 19.
How many factors does 1824 have?
1824 has 24 factors (12 factor pairs).
What is the sum of the factors of 1824?
5040.
Is 1824 a prime number?
No. It is divisible by 2, so 1824 = 2 × 912.