Is 9947 a prime number?
No, 9947 is not a prime number. It is divisible by 7: 9947 = 7 × 1421.
Is 9947 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 √9947 ≈ 99.73. If none of them divides 9947, it is prime.
- 3
7 divides 9947 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9947 = 7^{3} \times 29 \]Testing 9947 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9947 ÷ 2 | leaves 1 |
| 3 | 9947 ÷ 3 | leaves 2 |
| 5 | 9947 ÷ 5 | leaves 2 |
| 7 | 9947 ÷ 7 | divides exactly (1421) |
| 11 | 9947 ÷ 11 | leaves 3 |
| 13 | 9947 ÷ 13 | leaves 2 |
| 17 | 9947 ÷ 17 | leaves 2 |
| 19 | 9947 ÷ 19 | leaves 10 |
| 23 | 9947 ÷ 23 | leaves 11 |
| 29 | 9947 ÷ 29 | divides exactly (343) |
| 31 | 9947 ÷ 31 | leaves 27 |
| 37 | 9947 ÷ 37 | leaves 31 |
Questions
Is 9947 a prime number?
No, 9947 is not a prime number. It is divisible by 7: 9947 = 7 × 1421.
What is the next prime after 9947?
9949.
What is the prime number before 9947?
9941.
What are the factors of 9947?
1, 7, 29, 49, 203, 343, 1421, 9947.