Factors of 4048
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 4048 is a whole number that divides it with nothing left over. You only need to test the numbers up to √4048 ≈ 63.62; 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 8928. Without 4048 itself that is 4880, so 4048 is an abundant number.
LaTeX source of the formulas on this page
\[ 4048 = 2^{4} \times 11 \times 23 \]Factor pairs of 4048
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 4048 | 1 × 4048 = 4048 |
| 2 | 2024 | 2 × 2024 = 4048 |
| 4 | 1012 | 4 × 1012 = 4048 |
| 8 | 506 | 8 × 506 = 4048 |
| 11 | 368 | 11 × 368 = 4048 |
| 16 | 253 | 16 × 253 = 4048 |
| 22 | 184 | 22 × 184 = 4048 |
| 23 | 176 | 23 × 176 = 4048 |
| 44 | 92 | 44 × 92 = 4048 |
| 46 | 88 | 46 × 88 = 4048 |
Questions
What are the factors of 4048?
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048. It has 20 factors.
What are the prime factors of 4048?
2, 11, 23. As a product: × 11 × 23.
How many factors does 4048 have?
4048 has 20 factors (10 factor pairs).
What is the sum of the factors of 4048?
8928.
Is 4048 a prime number?
No. It is divisible by 2, so 4048 = 2 × 2024.