Is 1707 a prime number?
No, 1707 is not a prime number. It is divisible by 3: 1707 = 3 × 569.
Is 1707 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 √1707 ≈ 41.32. If none of them divides 1707, it is prime.
- 3
3 divides 1707 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1707 = 3 \times 569 \]
Testing 1707 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1707 ÷ 2 | leaves 1 |
| 3 | 1707 ÷ 3 | divides exactly (569) |
| 5 | 1707 ÷ 5 | leaves 2 |
| 7 | 1707 ÷ 7 | leaves 6 |
| 11 | 1707 ÷ 11 | leaves 2 |
| 13 | 1707 ÷ 13 | leaves 4 |
| 17 | 1707 ÷ 17 | leaves 7 |
| 19 | 1707 ÷ 19 | leaves 16 |
| 23 | 1707 ÷ 23 | leaves 5 |
| 29 | 1707 ÷ 29 | leaves 25 |
| 31 | 1707 ÷ 31 | leaves 2 |
| 37 | 1707 ÷ 37 | leaves 5 |
Questions
Is 1707 a prime number?
No, 1707 is not a prime number. It is divisible by 3: 1707 = 3 × 569.
What is the next prime after 1707?
1709.
What is the prime number before 1707?
1699.
What are the factors of 1707?
1, 3, 569, 1707.