Factors of 1128
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1128 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1128 ≈ 33.59; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2880. Without 1128 itself that is 1752, so 1128 is an abundant number.
LaTeX source of the formulas on this page
\[ 1128 = 2^{3} \times 3 \times 47 \]Factor pairs of 1128
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1128 | 1 × 1128 = 1128 |
| 2 | 564 | 2 × 564 = 1128 |
| 3 | 376 | 3 × 376 = 1128 |
| 4 | 282 | 4 × 282 = 1128 |
| 6 | 188 | 6 × 188 = 1128 |
| 8 | 141 | 8 × 141 = 1128 |
| 12 | 94 | 12 × 94 = 1128 |
| 24 | 47 | 24 × 47 = 1128 |
Questions
What are the factors of 1128?
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. It has 16 factors.
What are the prime factors of 1128?
2, 3, 47. As a product: × 3 × 47.
How many factors does 1128 have?
1128 has 16 factors (8 factor pairs).
What is the sum of the factors of 1128?
2880.
Is 1128 a prime number?
No. It is divisible by 2, so 1128 = 2 × 564.