Is 9913 a prime number?
No, 9913 is not a prime number. It is divisible by 23: 9913 = 23 × 431.
Is 9913 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 √9913 ≈ 99.56. If none of them divides 9913, it is prime.
- 3
23 divides 9913 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9913 = 23 \times 431 \]
Testing 9913 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9913 ÷ 2 | leaves 1 |
| 3 | 9913 ÷ 3 | leaves 1 |
| 5 | 9913 ÷ 5 | leaves 3 |
| 7 | 9913 ÷ 7 | leaves 1 |
| 11 | 9913 ÷ 11 | leaves 2 |
| 13 | 9913 ÷ 13 | leaves 7 |
| 17 | 9913 ÷ 17 | leaves 2 |
| 19 | 9913 ÷ 19 | leaves 14 |
| 23 | 9913 ÷ 23 | divides exactly (431) |
| 29 | 9913 ÷ 29 | leaves 24 |
| 31 | 9913 ÷ 31 | leaves 24 |
| 37 | 9913 ÷ 37 | leaves 34 |
Questions
Is 9913 a prime number?
No, 9913 is not a prime number. It is divisible by 23: 9913 = 23 × 431.
What is the next prime after 9913?
9923.
What is the prime number before 9913?
9907.
What are the factors of 9913?
1, 23, 431, 9913.