Is 3996 a prime number?
No, 3996 is not a prime number. It is divisible by 2: 3996 = 2 × 1998.
Is 3996 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 √3996 ≈ 63.21. If none of them divides 3996, it is prime.
- 3
2 divides 3996 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3996 = 2^{2} \times 3^{3} \times 37 \]Testing 3996 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3996 ÷ 2 | divides exactly (1998) |
| 3 | 3996 ÷ 3 | divides exactly (1332) |
| 5 | 3996 ÷ 5 | leaves 1 |
| 7 | 3996 ÷ 7 | leaves 6 |
| 11 | 3996 ÷ 11 | leaves 3 |
| 13 | 3996 ÷ 13 | leaves 5 |
| 17 | 3996 ÷ 17 | leaves 1 |
| 19 | 3996 ÷ 19 | leaves 6 |
| 23 | 3996 ÷ 23 | leaves 17 |
| 29 | 3996 ÷ 29 | leaves 23 |
| 31 | 3996 ÷ 31 | leaves 28 |
| 37 | 3996 ÷ 37 | divides exactly (108) |
Questions
Is 3996 a prime number?
No, 3996 is not a prime number. It is divisible by 2: 3996 = 2 × 1998.
What is the next prime after 3996?
4001.
What is the prime number before 3996?
3989.
What are the factors of 3996?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996.