Is 9917 a prime number?
No, 9917 is not a prime number. It is divisible by 47: 9917 = 47 × 211.
Is 9917 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 √9917 ≈ 99.58. If none of them divides 9917, it is prime.
- 3
47 divides 9917 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9917 = 47 \times 211 \]
Testing 9917 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9917 ÷ 2 | leaves 1 |
| 3 | 9917 ÷ 3 | leaves 2 |
| 5 | 9917 ÷ 5 | leaves 2 |
| 7 | 9917 ÷ 7 | leaves 5 |
| 11 | 9917 ÷ 11 | leaves 6 |
| 13 | 9917 ÷ 13 | leaves 11 |
| 17 | 9917 ÷ 17 | leaves 6 |
| 19 | 9917 ÷ 19 | leaves 18 |
| 23 | 9917 ÷ 23 | leaves 4 |
| 29 | 9917 ÷ 29 | leaves 28 |
| 31 | 9917 ÷ 31 | leaves 28 |
| 37 | 9917 ÷ 37 | leaves 1 |
Questions
Is 9917 a prime number?
No, 9917 is not a prime number. It is divisible by 47: 9917 = 47 × 211.
What is the next prime after 9917?
9923.
What is the prime number before 9917?
9907.
What are the factors of 9917?
1, 47, 211, 9917.