Is 1023 a prime number?
No, 1023 is not a prime number. It is divisible by 3: 1023 = 3 × 341.
Is 1023 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 √1023 ≈ 31.98. If none of them divides 1023, it is prime.
- 3
3 divides 1023 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1023 = 3 \times 11 \times 31 \]
Testing 1023 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1023 ÷ 2 | leaves 1 |
| 3 | 1023 ÷ 3 | divides exactly (341) |
| 5 | 1023 ÷ 5 | leaves 3 |
| 7 | 1023 ÷ 7 | leaves 1 |
| 11 | 1023 ÷ 11 | divides exactly (93) |
| 13 | 1023 ÷ 13 | leaves 9 |
| 17 | 1023 ÷ 17 | leaves 3 |
| 19 | 1023 ÷ 19 | leaves 16 |
| 23 | 1023 ÷ 23 | leaves 11 |
| 29 | 1023 ÷ 29 | leaves 8 |
| 31 | 1023 ÷ 31 | divides exactly (33) |
Questions
Is 1023 a prime number?
No, 1023 is not a prime number. It is divisible by 3: 1023 = 3 × 341.
What is the next prime after 1023?
1031.
What is the prime number before 1023?
1021.
What are the factors of 1023?
1, 3, 11, 31, 33, 93, 341, 1023.