Is 9747 a prime number?
No, 9747 is not a prime number. It is divisible by 3: 9747 = 3 × 3249.
Is 9747 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 √9747 ≈ 98.73. If none of them divides 9747, it is prime.
- 3
3 divides 9747 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9747 = 3^{3} \times 19^{2} \]Testing 9747 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9747 ÷ 2 | leaves 1 |
| 3 | 9747 ÷ 3 | divides exactly (3249) |
| 5 | 9747 ÷ 5 | leaves 2 |
| 7 | 9747 ÷ 7 | leaves 3 |
| 11 | 9747 ÷ 11 | leaves 1 |
| 13 | 9747 ÷ 13 | leaves 10 |
| 17 | 9747 ÷ 17 | leaves 6 |
| 19 | 9747 ÷ 19 | divides exactly (513) |
| 23 | 9747 ÷ 23 | leaves 18 |
| 29 | 9747 ÷ 29 | leaves 3 |
| 31 | 9747 ÷ 31 | leaves 13 |
| 37 | 9747 ÷ 37 | leaves 16 |
Questions
Is 9747 a prime number?
No, 9747 is not a prime number. It is divisible by 3: 9747 = 3 × 3249.
What is the next prime after 9747?
9749.
What is the prime number before 9747?
9743.
What are the factors of 9747?
1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747.