Is 9976 a prime number?
No, 9976 is not a prime number. It is divisible by 2: 9976 = 2 × 4988.
Is 9976 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 √9976 ≈ 99.88. If none of them divides 9976, it is prime.
- 3
2 divides 9976 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9976 = 2^{3} \times 29 \times 43 \]Testing 9976 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9976 ÷ 2 | divides exactly (4988) |
| 3 | 9976 ÷ 3 | leaves 1 |
| 5 | 9976 ÷ 5 | leaves 1 |
| 7 | 9976 ÷ 7 | leaves 1 |
| 11 | 9976 ÷ 11 | leaves 10 |
| 13 | 9976 ÷ 13 | leaves 5 |
| 17 | 9976 ÷ 17 | leaves 14 |
| 19 | 9976 ÷ 19 | leaves 1 |
| 23 | 9976 ÷ 23 | leaves 17 |
| 29 | 9976 ÷ 29 | divides exactly (344) |
| 31 | 9976 ÷ 31 | leaves 25 |
| 37 | 9976 ÷ 37 | leaves 23 |
Questions
Is 9976 a prime number?
No, 9976 is not a prime number. It is divisible by 2: 9976 = 2 × 4988.
What is the next prime after 9976?
10007.
What is the prime number before 9976?
9973.
What are the factors of 9976?
1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976.