Is 1074 a prime number?
No, 1074 is not a prime number. It is divisible by 2: 1074 = 2 × 537.
Is 1074 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 √1074 ≈ 32.77. If none of them divides 1074, it is prime.
- 3
2 divides 1074 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1074 = 2 \times 3 \times 179 \]
Testing 1074 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1074 ÷ 2 | divides exactly (537) |
| 3 | 1074 ÷ 3 | divides exactly (358) |
| 5 | 1074 ÷ 5 | leaves 4 |
| 7 | 1074 ÷ 7 | leaves 3 |
| 11 | 1074 ÷ 11 | leaves 7 |
| 13 | 1074 ÷ 13 | leaves 8 |
| 17 | 1074 ÷ 17 | leaves 3 |
| 19 | 1074 ÷ 19 | leaves 10 |
| 23 | 1074 ÷ 23 | leaves 16 |
| 29 | 1074 ÷ 29 | leaves 1 |
| 31 | 1074 ÷ 31 | leaves 20 |
Questions
Is 1074 a prime number?
No, 1074 is not a prime number. It is divisible by 2: 1074 = 2 × 537.
What is the next prime after 1074?
1087.
What is the prime number before 1074?
1069.
What are the factors of 1074?
1, 2, 3, 6, 179, 358, 537, 1074.