Is 731 a prime number?
No, 731 is not a prime number. It is divisible by 17: 731 = 17 × 43.
Is 731 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 √731 ≈ 27.04. If none of them divides 731, it is prime.
- 3
17 divides 731 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 731 = 17 \times 43 \]
Testing 731 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 731 ÷ 2 | leaves 1 |
| 3 | 731 ÷ 3 | leaves 2 |
| 5 | 731 ÷ 5 | leaves 1 |
| 7 | 731 ÷ 7 | leaves 3 |
| 11 | 731 ÷ 11 | leaves 5 |
| 13 | 731 ÷ 13 | leaves 3 |
| 17 | 731 ÷ 17 | divides exactly (43) |
| 19 | 731 ÷ 19 | leaves 9 |
| 23 | 731 ÷ 23 | leaves 18 |
Questions
Is 731 a prime number?
No, 731 is not a prime number. It is divisible by 17: 731 = 17 × 43.
What is the next prime after 731?
733.
What is the prime number before 731?
727.
What are the factors of 731?
1, 17, 43, 731.