Is 1767 a prime number?
No, 1767 is not a prime number. It is divisible by 3: 1767 = 3 × 589.
Is 1767 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 √1767 ≈ 42.04. If none of them divides 1767, it is prime.
- 3
3 divides 1767 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1767 = 3 \times 19 \times 31 \]
Testing 1767 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1767 ÷ 2 | leaves 1 |
| 3 | 1767 ÷ 3 | divides exactly (589) |
| 5 | 1767 ÷ 5 | leaves 2 |
| 7 | 1767 ÷ 7 | leaves 3 |
| 11 | 1767 ÷ 11 | leaves 7 |
| 13 | 1767 ÷ 13 | leaves 12 |
| 17 | 1767 ÷ 17 | leaves 16 |
| 19 | 1767 ÷ 19 | divides exactly (93) |
| 23 | 1767 ÷ 23 | leaves 19 |
| 29 | 1767 ÷ 29 | leaves 27 |
| 31 | 1767 ÷ 31 | divides exactly (57) |
| 37 | 1767 ÷ 37 | leaves 28 |
Questions
Is 1767 a prime number?
No, 1767 is not a prime number. It is divisible by 3: 1767 = 3 × 589.
What is the next prime after 1767?
1777.
What is the prime number before 1767?
1759.
What are the factors of 1767?
1, 3, 19, 31, 57, 93, 589, 1767.