Is 684 a prime number?
No, 684 is not a prime number. It is divisible by 2: 684 = 2 × 342.
Is 684 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 √684 ≈ 26.15. If none of them divides 684, it is prime.
- 3
2 divides 684 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 684 = 2^{2} \times 3^{2} \times 19 \]Testing 684 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 684 ÷ 2 | divides exactly (342) |
| 3 | 684 ÷ 3 | divides exactly (228) |
| 5 | 684 ÷ 5 | leaves 4 |
| 7 | 684 ÷ 7 | leaves 5 |
| 11 | 684 ÷ 11 | leaves 2 |
| 13 | 684 ÷ 13 | leaves 8 |
| 17 | 684 ÷ 17 | leaves 4 |
| 19 | 684 ÷ 19 | divides exactly (36) |
| 23 | 684 ÷ 23 | leaves 17 |
Questions
Is 684 a prime number?
No, 684 is not a prime number. It is divisible by 2: 684 = 2 × 342.
What is the next prime after 684?
691.
What is the prime number before 684?
683.
What are the factors of 684?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684.