Factors of 1104
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1104 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1104 ≈ 33.23; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 2976. Without 1104 itself that is 1872, so 1104 is an abundant number.
LaTeX source of the formulas on this page
\[ 1104 = 2^{4} \times 3 \times 23 \]Factor pairs of 1104
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1104 | 1 × 1104 = 1104 |
| 2 | 552 | 2 × 552 = 1104 |
| 3 | 368 | 3 × 368 = 1104 |
| 4 | 276 | 4 × 276 = 1104 |
| 6 | 184 | 6 × 184 = 1104 |
| 8 | 138 | 8 × 138 = 1104 |
| 12 | 92 | 12 × 92 = 1104 |
| 16 | 69 | 16 × 69 = 1104 |
| 23 | 48 | 23 × 48 = 1104 |
| 24 | 46 | 24 × 46 = 1104 |
Questions
What are the factors of 1104?
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104. It has 20 factors.
What are the prime factors of 1104?
2, 3, 23. As a product: × 3 × 23.
How many factors does 1104 have?
1104 has 20 factors (10 factor pairs).
What is the sum of the factors of 1104?
2976.
Is 1104 a prime number?
No. It is divisible by 2, so 1104 = 2 × 552.