Is 996 a prime number?
No, 996 is not a prime number. It is divisible by 2: 996 = 2 × 498.
Is 996 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 √996 ≈ 31.56. If none of them divides 996, it is prime.
- 3
2 divides 996 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 996 = 2^{2} \times 3 \times 83 \]Testing 996 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 996 ÷ 2 | divides exactly (498) |
| 3 | 996 ÷ 3 | divides exactly (332) |
| 5 | 996 ÷ 5 | leaves 1 |
| 7 | 996 ÷ 7 | leaves 2 |
| 11 | 996 ÷ 11 | leaves 6 |
| 13 | 996 ÷ 13 | leaves 8 |
| 17 | 996 ÷ 17 | leaves 10 |
| 19 | 996 ÷ 19 | leaves 8 |
| 23 | 996 ÷ 23 | leaves 7 |
| 29 | 996 ÷ 29 | leaves 10 |
| 31 | 996 ÷ 31 | leaves 4 |
Questions
Is 996 a prime number?
No, 996 is not a prime number. It is divisible by 2: 996 = 2 × 498.
What is the next prime after 996?
997.
What is the prime number before 996?
991.
What are the factors of 996?
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.