Is 9937 a prime number?
No, 9937 is not a prime number. It is divisible by 19: 9937 = 19 × 523.
Is 9937 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 √9937 ≈ 99.68. If none of them divides 9937, it is prime.
- 3
19 divides 9937 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9937 = 19 \times 523 \]
Testing 9937 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9937 ÷ 2 | leaves 1 |
| 3 | 9937 ÷ 3 | leaves 1 |
| 5 | 9937 ÷ 5 | leaves 2 |
| 7 | 9937 ÷ 7 | leaves 4 |
| 11 | 9937 ÷ 11 | leaves 4 |
| 13 | 9937 ÷ 13 | leaves 5 |
| 17 | 9937 ÷ 17 | leaves 9 |
| 19 | 9937 ÷ 19 | divides exactly (523) |
| 23 | 9937 ÷ 23 | leaves 1 |
| 29 | 9937 ÷ 29 | leaves 19 |
| 31 | 9937 ÷ 31 | leaves 17 |
| 37 | 9937 ÷ 37 | leaves 21 |
Questions
Is 9937 a prime number?
No, 9937 is not a prime number. It is divisible by 19: 9937 = 19 × 523.
What is the next prime after 9937?
9941.
What is the prime number before 9937?
9931.
What are the factors of 9937?
1, 19, 523, 9937.