Is 1674 a prime number?
No, 1674 is not a prime number. It is divisible by 2: 1674 = 2 × 837.
Is 1674 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 √1674 ≈ 40.91. If none of them divides 1674, it is prime.
- 3
2 divides 1674 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1674 = 2 \times 3^{3} \times 31 \]Testing 1674 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1674 ÷ 2 | divides exactly (837) |
| 3 | 1674 ÷ 3 | divides exactly (558) |
| 5 | 1674 ÷ 5 | leaves 4 |
| 7 | 1674 ÷ 7 | leaves 1 |
| 11 | 1674 ÷ 11 | leaves 2 |
| 13 | 1674 ÷ 13 | leaves 10 |
| 17 | 1674 ÷ 17 | leaves 8 |
| 19 | 1674 ÷ 19 | leaves 2 |
| 23 | 1674 ÷ 23 | leaves 18 |
| 29 | 1674 ÷ 29 | leaves 21 |
| 31 | 1674 ÷ 31 | divides exactly (54) |
| 37 | 1674 ÷ 37 | leaves 9 |
Questions
Is 1674 a prime number?
No, 1674 is not a prime number. It is divisible by 2: 1674 = 2 × 837.
What is the next prime after 1674?
1693.
What is the prime number before 1674?
1669.
What are the factors of 1674?
1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674.