Is 9936 a prime number?
No, 9936 is not a prime number. It is divisible by 2: 9936 = 2 × 4968.
Is 9936 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 √9936 ≈ 99.68. If none of them divides 9936, it is prime.
- 3
2 divides 9936 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9936 = 2^{4} \times 3^{3} \times 23 \]Testing 9936 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9936 ÷ 2 | divides exactly (4968) |
| 3 | 9936 ÷ 3 | divides exactly (3312) |
| 5 | 9936 ÷ 5 | leaves 1 |
| 7 | 9936 ÷ 7 | leaves 3 |
| 11 | 9936 ÷ 11 | leaves 3 |
| 13 | 9936 ÷ 13 | leaves 4 |
| 17 | 9936 ÷ 17 | leaves 8 |
| 19 | 9936 ÷ 19 | leaves 18 |
| 23 | 9936 ÷ 23 | divides exactly (432) |
| 29 | 9936 ÷ 29 | leaves 18 |
| 31 | 9936 ÷ 31 | leaves 16 |
| 37 | 9936 ÷ 37 | leaves 20 |
Questions
Is 9936 a prime number?
No, 9936 is not a prime number. It is divisible by 2: 9936 = 2 × 4968.
What is the next prime after 9936?
9941.
What is the prime number before 9936?
9931.
What are the factors of 9936?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936.