Is 767 a prime number?
No, 767 is not a prime number. It is divisible by 13: 767 = 13 × 59.
Is 767 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 √767 ≈ 27.69. If none of them divides 767, it is prime.
- 3
13 divides 767 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 767 = 13 \times 59 \]
Testing 767 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 767 ÷ 2 | leaves 1 |
| 3 | 767 ÷ 3 | leaves 2 |
| 5 | 767 ÷ 5 | leaves 2 |
| 7 | 767 ÷ 7 | leaves 4 |
| 11 | 767 ÷ 11 | leaves 8 |
| 13 | 767 ÷ 13 | divides exactly (59) |
| 17 | 767 ÷ 17 | leaves 2 |
| 19 | 767 ÷ 19 | leaves 7 |
| 23 | 767 ÷ 23 | leaves 8 |
Questions
Is 767 a prime number?
No, 767 is not a prime number. It is divisible by 13: 767 = 13 × 59.
What is the next prime after 767?
769.
What is the prime number before 767?
761.
What are the factors of 767?
1, 13, 59, 767.