Is 713 a prime number?
No, 713 is not a prime number. It is divisible by 23: 713 = 23 × 31.
Is 713 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 √713 ≈ 26.70. If none of them divides 713, it is prime.
- 3
23 divides 713 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 713 = 23 \times 31 \]
Testing 713 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 713 ÷ 2 | leaves 1 |
| 3 | 713 ÷ 3 | leaves 2 |
| 5 | 713 ÷ 5 | leaves 3 |
| 7 | 713 ÷ 7 | leaves 6 |
| 11 | 713 ÷ 11 | leaves 9 |
| 13 | 713 ÷ 13 | leaves 11 |
| 17 | 713 ÷ 17 | leaves 16 |
| 19 | 713 ÷ 19 | leaves 10 |
| 23 | 713 ÷ 23 | divides exactly (31) |
Questions
Is 713 a prime number?
No, 713 is not a prime number. It is divisible by 23: 713 = 23 × 31.
What is the next prime after 713?
719.
What is the prime number before 713?
709.
What are the factors of 713?
1, 23, 31, 713.