Is 1791 a prime number?
No, 1791 is not a prime number. It is divisible by 3: 1791 = 3 × 597.
Is 1791 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 √1791 ≈ 42.32. If none of them divides 1791, it is prime.
- 3
3 divides 1791 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1791 = 3^{2} \times 199 \]Testing 1791 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1791 ÷ 2 | leaves 1 |
| 3 | 1791 ÷ 3 | divides exactly (597) |
| 5 | 1791 ÷ 5 | leaves 1 |
| 7 | 1791 ÷ 7 | leaves 6 |
| 11 | 1791 ÷ 11 | leaves 9 |
| 13 | 1791 ÷ 13 | leaves 10 |
| 17 | 1791 ÷ 17 | leaves 6 |
| 19 | 1791 ÷ 19 | leaves 5 |
| 23 | 1791 ÷ 23 | leaves 20 |
| 29 | 1791 ÷ 29 | leaves 22 |
| 31 | 1791 ÷ 31 | leaves 24 |
| 37 | 1791 ÷ 37 | leaves 15 |
Questions
Is 1791 a prime number?
No, 1791 is not a prime number. It is divisible by 3: 1791 = 3 × 597.
What is the next prime after 1791?
1801.
What is the prime number before 1791?
1789.
What are the factors of 1791?
1, 3, 9, 199, 597, 1791.