Is 1687 a prime number?
No, 1687 is not a prime number. It is divisible by 7: 1687 = 7 × 241.
Is 1687 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 √1687 ≈ 41.07. If none of them divides 1687, it is prime.
- 3
7 divides 1687 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1687 = 7 \times 241 \]
Testing 1687 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1687 ÷ 2 | leaves 1 |
| 3 | 1687 ÷ 3 | leaves 1 |
| 5 | 1687 ÷ 5 | leaves 2 |
| 7 | 1687 ÷ 7 | divides exactly (241) |
| 11 | 1687 ÷ 11 | leaves 4 |
| 13 | 1687 ÷ 13 | leaves 10 |
| 17 | 1687 ÷ 17 | leaves 4 |
| 19 | 1687 ÷ 19 | leaves 15 |
| 23 | 1687 ÷ 23 | leaves 8 |
| 29 | 1687 ÷ 29 | leaves 5 |
| 31 | 1687 ÷ 31 | leaves 13 |
| 37 | 1687 ÷ 37 | leaves 22 |
Questions
Is 1687 a prime number?
No, 1687 is not a prime number. It is divisible by 7: 1687 = 7 × 241.
What is the next prime after 1687?
1693.
What is the prime number before 1687?
1669.
What are the factors of 1687?
1, 7, 241, 1687.