Is 1092 a prime number?
No, 1092 is not a prime number. It is divisible by 2: 1092 = 2 × 546.
Is 1092 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 √1092 ≈ 33.05. If none of them divides 1092, it is prime.
- 3
2 divides 1092 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1092 = 2^{2} \times 3 \times 7 \times 13 \]Testing 1092 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1092 ÷ 2 | divides exactly (546) |
| 3 | 1092 ÷ 3 | divides exactly (364) |
| 5 | 1092 ÷ 5 | leaves 2 |
| 7 | 1092 ÷ 7 | divides exactly (156) |
| 11 | 1092 ÷ 11 | leaves 3 |
| 13 | 1092 ÷ 13 | divides exactly (84) |
| 17 | 1092 ÷ 17 | leaves 4 |
| 19 | 1092 ÷ 19 | leaves 9 |
| 23 | 1092 ÷ 23 | leaves 11 |
| 29 | 1092 ÷ 29 | leaves 19 |
| 31 | 1092 ÷ 31 | leaves 7 |
Questions
Is 1092 a prime number?
No, 1092 is not a prime number. It is divisible by 2: 1092 = 2 × 546.
What is the next prime after 1092?
1093.
What is the prime number before 1092?
1091.
What are the factors of 1092?
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092.