Is 1022 a prime number?
No, 1022 is not a prime number. It is divisible by 2: 1022 = 2 × 511.
Is 1022 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 √1022 ≈ 31.97. If none of them divides 1022, it is prime.
- 3
2 divides 1022 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1022 = 2 \times 7 \times 73 \]
Testing 1022 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1022 ÷ 2 | divides exactly (511) |
| 3 | 1022 ÷ 3 | leaves 2 |
| 5 | 1022 ÷ 5 | leaves 2 |
| 7 | 1022 ÷ 7 | divides exactly (146) |
| 11 | 1022 ÷ 11 | leaves 10 |
| 13 | 1022 ÷ 13 | leaves 8 |
| 17 | 1022 ÷ 17 | leaves 2 |
| 19 | 1022 ÷ 19 | leaves 15 |
| 23 | 1022 ÷ 23 | leaves 10 |
| 29 | 1022 ÷ 29 | leaves 7 |
| 31 | 1022 ÷ 31 | leaves 30 |
Questions
Is 1022 a prime number?
No, 1022 is not a prime number. It is divisible by 2: 1022 = 2 × 511.
What is the next prime after 1022?
1031.
What is the prime number before 1022?
1021.
What are the factors of 1022?
1, 2, 7, 14, 73, 146, 511, 1022.