Factors of 1038
The factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. It has 8 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1038 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1038 ≈ 32.22; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 3 + 6 + 173 + 346 + 519 + 1038 = 2088. Without 1038 itself that is 1050, so 1038 is an abundant number.
LaTeX source of the formulas on this page
\[ 1038 = 2 \times 3 \times 173 \]
Factor pairs of 1038
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1038 | 1 × 1038 = 1038 |
| 2 | 519 | 2 × 519 = 1038 |
| 3 | 346 | 3 × 346 = 1038 |
| 6 | 173 | 6 × 173 = 1038 |
Questions
What are the factors of 1038?
The factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. It has 8 factors.
What are the prime factors of 1038?
2, 3, 173. As a product: 2 × 3 × 173.
How many factors does 1038 have?
1038 has 8 factors (4 factor pairs).
What is the sum of the factors of 1038?
2088.
Is 1038 a prime number?
No. It is divisible by 2, so 1038 = 2 × 519.