Is 9962 a prime number?
No, 9962 is not a prime number. It is divisible by 2: 9962 = 2 × 4981.
Is 9962 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 √9962 ≈ 99.81. If none of them divides 9962, it is prime.
- 3
2 divides 9962 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9962 = 2 \times 17 \times 293 \]
Testing 9962 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9962 ÷ 2 | divides exactly (4981) |
| 3 | 9962 ÷ 3 | leaves 2 |
| 5 | 9962 ÷ 5 | leaves 2 |
| 7 | 9962 ÷ 7 | leaves 1 |
| 11 | 9962 ÷ 11 | leaves 7 |
| 13 | 9962 ÷ 13 | leaves 4 |
| 17 | 9962 ÷ 17 | divides exactly (586) |
| 19 | 9962 ÷ 19 | leaves 6 |
| 23 | 9962 ÷ 23 | leaves 3 |
| 29 | 9962 ÷ 29 | leaves 15 |
| 31 | 9962 ÷ 31 | leaves 11 |
| 37 | 9962 ÷ 37 | leaves 9 |
Questions
Is 9962 a prime number?
No, 9962 is not a prime number. It is divisible by 2: 9962 = 2 × 4981.
What is the next prime after 9962?
9967.
What is the prime number before 9962?
9949.
What are the factors of 9962?
1, 2, 17, 34, 293, 586, 4981, 9962.