Is 1107 a prime number?
No, 1107 is not a prime number. It is divisible by 3: 1107 = 3 × 369.
Is 1107 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 √1107 ≈ 33.27. If none of them divides 1107, it is prime.
- 3
3 divides 1107 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1107 = 3^{3} \times 41 \]Testing 1107 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1107 ÷ 2 | leaves 1 |
| 3 | 1107 ÷ 3 | divides exactly (369) |
| 5 | 1107 ÷ 5 | leaves 2 |
| 7 | 1107 ÷ 7 | leaves 1 |
| 11 | 1107 ÷ 11 | leaves 7 |
| 13 | 1107 ÷ 13 | leaves 2 |
| 17 | 1107 ÷ 17 | leaves 2 |
| 19 | 1107 ÷ 19 | leaves 5 |
| 23 | 1107 ÷ 23 | leaves 3 |
| 29 | 1107 ÷ 29 | leaves 5 |
| 31 | 1107 ÷ 31 | leaves 22 |
Questions
Is 1107 a prime number?
No, 1107 is not a prime number. It is divisible by 3: 1107 = 3 × 369.
What is the next prime after 1107?
1109.
What is the prime number before 1107?
1103.
What are the factors of 1107?
1, 3, 9, 27, 41, 123, 369, 1107.