Is 9968 a prime number?
No, 9968 is not a prime number. It is divisible by 2: 9968 = 2 × 4984.
Is 9968 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 √9968 ≈ 99.84. If none of them divides 9968, it is prime.
- 3
2 divides 9968 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9968 = 2^{4} \times 7 \times 89 \]Testing 9968 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9968 ÷ 2 | divides exactly (4984) |
| 3 | 9968 ÷ 3 | leaves 2 |
| 5 | 9968 ÷ 5 | leaves 3 |
| 7 | 9968 ÷ 7 | divides exactly (1424) |
| 11 | 9968 ÷ 11 | leaves 2 |
| 13 | 9968 ÷ 13 | leaves 10 |
| 17 | 9968 ÷ 17 | leaves 6 |
| 19 | 9968 ÷ 19 | leaves 12 |
| 23 | 9968 ÷ 23 | leaves 9 |
| 29 | 9968 ÷ 29 | leaves 21 |
| 31 | 9968 ÷ 31 | leaves 17 |
| 37 | 9968 ÷ 37 | leaves 15 |
Questions
Is 9968 a prime number?
No, 9968 is not a prime number. It is divisible by 2: 9968 = 2 × 4984.
What is the next prime after 9968?
9973.
What is the prime number before 9968?
9967.
What are the factors of 9968?
1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968.