Is 1027 a prime number?
No, 1027 is not a prime number. It is divisible by 13: 1027 = 13 × 79.
Is 1027 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 √1027 ≈ 32.05. If none of them divides 1027, it is prime.
- 3
13 divides 1027 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1027 = 13 \times 79 \]
Testing 1027 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1027 ÷ 2 | leaves 1 |
| 3 | 1027 ÷ 3 | leaves 1 |
| 5 | 1027 ÷ 5 | leaves 2 |
| 7 | 1027 ÷ 7 | leaves 5 |
| 11 | 1027 ÷ 11 | leaves 4 |
| 13 | 1027 ÷ 13 | divides exactly (79) |
| 17 | 1027 ÷ 17 | leaves 7 |
| 19 | 1027 ÷ 19 | leaves 1 |
| 23 | 1027 ÷ 23 | leaves 15 |
| 29 | 1027 ÷ 29 | leaves 12 |
| 31 | 1027 ÷ 31 | leaves 4 |
Questions
Is 1027 a prime number?
No, 1027 is not a prime number. It is divisible by 13: 1027 = 13 × 79.
What is the next prime after 1027?
1031.
What is the prime number before 1027?
1021.
What are the factors of 1027?
1, 13, 79, 1027.