Is 9957 a prime number?
No, 9957 is not a prime number. It is divisible by 3: 9957 = 3 × 3319.
Is 9957 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 √9957 ≈ 99.78. If none of them divides 9957, it is prime.
- 3
3 divides 9957 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9957 = 3 \times 3319 \]
Testing 9957 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9957 ÷ 2 | leaves 1 |
| 3 | 9957 ÷ 3 | divides exactly (3319) |
| 5 | 9957 ÷ 5 | leaves 2 |
| 7 | 9957 ÷ 7 | leaves 3 |
| 11 | 9957 ÷ 11 | leaves 2 |
| 13 | 9957 ÷ 13 | leaves 12 |
| 17 | 9957 ÷ 17 | leaves 12 |
| 19 | 9957 ÷ 19 | leaves 1 |
| 23 | 9957 ÷ 23 | leaves 21 |
| 29 | 9957 ÷ 29 | leaves 10 |
| 31 | 9957 ÷ 31 | leaves 6 |
| 37 | 9957 ÷ 37 | leaves 4 |
Questions
Is 9957 a prime number?
No, 9957 is not a prime number. It is divisible by 3: 9957 = 3 × 3319.
What is the next prime after 9957?
9967.
What is the prime number before 9957?
9949.
What are the factors of 9957?
1, 3, 3319, 9957.