Is 1089 a prime number?
No, 1089 is not a prime number. It is divisible by 3: 1089 = 3 × 363.
Is 1089 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 √1089 ≈ 33.00. If none of them divides 1089, it is prime.
- 3
3 divides 1089 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1089 = 3^{2} \times 11^{2} \]Testing 1089 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1089 ÷ 2 | leaves 1 |
| 3 | 1089 ÷ 3 | divides exactly (363) |
| 5 | 1089 ÷ 5 | leaves 4 |
| 7 | 1089 ÷ 7 | leaves 4 |
| 11 | 1089 ÷ 11 | divides exactly (99) |
| 13 | 1089 ÷ 13 | leaves 10 |
| 17 | 1089 ÷ 17 | leaves 1 |
| 19 | 1089 ÷ 19 | leaves 6 |
| 23 | 1089 ÷ 23 | leaves 8 |
| 29 | 1089 ÷ 29 | leaves 16 |
| 31 | 1089 ÷ 31 | leaves 4 |
Questions
Is 1089 a prime number?
No, 1089 is not a prime number. It is divisible by 3: 1089 = 3 × 363.
What is the next prime after 1089?
1091.
What is the prime number before 1089?
1087.
What are the factors of 1089?
1, 3, 9, 11, 33, 99, 121, 363, 1089.