Is 1026 a prime number?
No, 1026 is not a prime number. It is divisible by 2: 1026 = 2 × 513.
Is 1026 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 √1026 ≈ 32.03. If none of them divides 1026, it is prime.
- 3
2 divides 1026 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1026 = 2 \times 3^{3} \times 19 \]Testing 1026 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1026 ÷ 2 | divides exactly (513) |
| 3 | 1026 ÷ 3 | divides exactly (342) |
| 5 | 1026 ÷ 5 | leaves 1 |
| 7 | 1026 ÷ 7 | leaves 4 |
| 11 | 1026 ÷ 11 | leaves 3 |
| 13 | 1026 ÷ 13 | leaves 12 |
| 17 | 1026 ÷ 17 | leaves 6 |
| 19 | 1026 ÷ 19 | divides exactly (54) |
| 23 | 1026 ÷ 23 | leaves 14 |
| 29 | 1026 ÷ 29 | leaves 11 |
| 31 | 1026 ÷ 31 | leaves 3 |
Questions
Is 1026 a prime number?
No, 1026 is not a prime number. It is divisible by 2: 1026 = 2 × 513.
What is the next prime after 1026?
1031.
What is the prime number before 1026?
1021.
What are the factors of 1026?
1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026.