Is 1140 a prime number?
No, 1140 is not a prime number. It is divisible by 2: 1140 = 2 × 570.
Is 1140 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 √1140 ≈ 33.76. If none of them divides 1140, it is prime.
- 3
2 divides 1140 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1140 = 2^{2} \times 3 \times 5 \times 19 \]Testing 1140 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1140 ÷ 2 | divides exactly (570) |
| 3 | 1140 ÷ 3 | divides exactly (380) |
| 5 | 1140 ÷ 5 | divides exactly (228) |
| 7 | 1140 ÷ 7 | leaves 6 |
| 11 | 1140 ÷ 11 | leaves 7 |
| 13 | 1140 ÷ 13 | leaves 9 |
| 17 | 1140 ÷ 17 | leaves 1 |
| 19 | 1140 ÷ 19 | divides exactly (60) |
| 23 | 1140 ÷ 23 | leaves 13 |
| 29 | 1140 ÷ 29 | leaves 9 |
| 31 | 1140 ÷ 31 | leaves 24 |
Questions
Is 1140 a prime number?
No, 1140 is not a prime number. It is divisible by 2: 1140 = 2 × 570.
What is the next prime after 1140?
1151.
What is the prime number before 1140?
1129.
What are the factors of 1140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.