Is 1038 a prime number?
No, 1038 is not a prime number. It is divisible by 2: 1038 = 2 × 519.
Is 1038 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √1038 ≈ 32.22. If none of them divides 1038, it is prime.
- 3
2 divides 1038 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1038 = 2 \times 3 \times 173 \]
Testing 1038 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1038 ÷ 2 | divides exactly (519) |
| 3 | 1038 ÷ 3 | divides exactly (346) |
| 5 | 1038 ÷ 5 | leaves 3 |
| 7 | 1038 ÷ 7 | leaves 2 |
| 11 | 1038 ÷ 11 | leaves 4 |
| 13 | 1038 ÷ 13 | leaves 11 |
| 17 | 1038 ÷ 17 | leaves 1 |
| 19 | 1038 ÷ 19 | leaves 12 |
| 23 | 1038 ÷ 23 | leaves 3 |
| 29 | 1038 ÷ 29 | leaves 23 |
| 31 | 1038 ÷ 31 | leaves 15 |
Questions
Is 1038 a prime number?
No, 1038 is not a prime number. It is divisible by 2: 1038 = 2 × 519.
What is the next prime after 1038?
1039.
What is the prime number before 1038?
1033.
What are the factors of 1038?
1, 2, 3, 6, 173, 346, 519, 1038.