Is 1684 a prime number?
No, 1684 is not a prime number. It is divisible by 2: 1684 = 2 × 842.
Is 1684 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 √1684 ≈ 41.04. If none of them divides 1684, it is prime.
- 3
2 divides 1684 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1684 = 2^{2} \times 421 \]Testing 1684 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1684 ÷ 2 | divides exactly (842) |
| 3 | 1684 ÷ 3 | leaves 1 |
| 5 | 1684 ÷ 5 | leaves 4 |
| 7 | 1684 ÷ 7 | leaves 4 |
| 11 | 1684 ÷ 11 | leaves 1 |
| 13 | 1684 ÷ 13 | leaves 7 |
| 17 | 1684 ÷ 17 | leaves 1 |
| 19 | 1684 ÷ 19 | leaves 12 |
| 23 | 1684 ÷ 23 | leaves 5 |
| 29 | 1684 ÷ 29 | leaves 2 |
| 31 | 1684 ÷ 31 | leaves 10 |
| 37 | 1684 ÷ 37 | leaves 19 |
Questions
Is 1684 a prime number?
No, 1684 is not a prime number. It is divisible by 2: 1684 = 2 × 842.
What is the next prime after 1684?
1693.
What is the prime number before 1684?
1669.
What are the factors of 1684?
1, 2, 4, 421, 842, 1684.