Is 9741 a prime number?
No, 9741 is not a prime number. It is divisible by 3: 9741 = 3 × 3247.
Is 9741 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 √9741 ≈ 98.70. If none of them divides 9741, it is prime.
- 3
3 divides 9741 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9741 = 3 \times 17 \times 191 \]
Testing 9741 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9741 ÷ 2 | leaves 1 |
| 3 | 9741 ÷ 3 | divides exactly (3247) |
| 5 | 9741 ÷ 5 | leaves 1 |
| 7 | 9741 ÷ 7 | leaves 4 |
| 11 | 9741 ÷ 11 | leaves 6 |
| 13 | 9741 ÷ 13 | leaves 4 |
| 17 | 9741 ÷ 17 | divides exactly (573) |
| 19 | 9741 ÷ 19 | leaves 13 |
| 23 | 9741 ÷ 23 | leaves 12 |
| 29 | 9741 ÷ 29 | leaves 26 |
| 31 | 9741 ÷ 31 | leaves 7 |
| 37 | 9741 ÷ 37 | leaves 10 |
Questions
Is 9741 a prime number?
No, 9741 is not a prime number. It is divisible by 3: 9741 = 3 × 3247.
What is the next prime after 9741?
9743.
What is the prime number before 9741?
9739.
What are the factors of 9741?
1, 3, 17, 51, 191, 573, 3247, 9741.