Is 791 a prime number?
No, 791 is not a prime number. It is divisible by 7: 791 = 7 × 113.
Is 791 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 √791 ≈ 28.12. If none of them divides 791, it is prime.
- 3
7 divides 791 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 791 = 7 \times 113 \]
Testing 791 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 791 ÷ 2 | leaves 1 |
| 3 | 791 ÷ 3 | leaves 2 |
| 5 | 791 ÷ 5 | leaves 1 |
| 7 | 791 ÷ 7 | divides exactly (113) |
| 11 | 791 ÷ 11 | leaves 10 |
| 13 | 791 ÷ 13 | leaves 11 |
| 17 | 791 ÷ 17 | leaves 9 |
| 19 | 791 ÷ 19 | leaves 12 |
| 23 | 791 ÷ 23 | leaves 9 |
Questions
Is 791 a prime number?
No, 791 is not a prime number. It is divisible by 7: 791 = 7 × 113.
What is the next prime after 791?
797.
What is the prime number before 791?
787.
What are the factors of 791?
1, 7, 113, 791.