Is 1148 a prime number?
No, 1148 is not a prime number. It is divisible by 2: 1148 = 2 × 574.
Is 1148 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 √1148 ≈ 33.88. If none of them divides 1148, it is prime.
- 3
2 divides 1148 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1148 = 2^{2} \times 7 \times 41 \]Testing 1148 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1148 ÷ 2 | divides exactly (574) |
| 3 | 1148 ÷ 3 | leaves 2 |
| 5 | 1148 ÷ 5 | leaves 3 |
| 7 | 1148 ÷ 7 | divides exactly (164) |
| 11 | 1148 ÷ 11 | leaves 4 |
| 13 | 1148 ÷ 13 | leaves 4 |
| 17 | 1148 ÷ 17 | leaves 9 |
| 19 | 1148 ÷ 19 | leaves 8 |
| 23 | 1148 ÷ 23 | leaves 21 |
| 29 | 1148 ÷ 29 | leaves 17 |
| 31 | 1148 ÷ 31 | leaves 1 |
Questions
Is 1148 a prime number?
No, 1148 is not a prime number. It is divisible by 2: 1148 = 2 × 574.
What is the next prime after 1148?
1151.
What is the prime number before 1148?
1129.
What are the factors of 1148?
1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148.