Is 3984 a prime number?
No, 3984 is not a prime number. It is divisible by 2: 3984 = 2 × 1992.
Is 3984 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 √3984 ≈ 63.12. If none of them divides 3984, it is prime.
- 3
2 divides 3984 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3984 = 2^{4} \times 3 \times 83 \]Testing 3984 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3984 ÷ 2 | divides exactly (1992) |
| 3 | 3984 ÷ 3 | divides exactly (1328) |
| 5 | 3984 ÷ 5 | leaves 4 |
| 7 | 3984 ÷ 7 | leaves 1 |
| 11 | 3984 ÷ 11 | leaves 2 |
| 13 | 3984 ÷ 13 | leaves 6 |
| 17 | 3984 ÷ 17 | leaves 6 |
| 19 | 3984 ÷ 19 | leaves 13 |
| 23 | 3984 ÷ 23 | leaves 5 |
| 29 | 3984 ÷ 29 | leaves 11 |
| 31 | 3984 ÷ 31 | leaves 16 |
| 37 | 3984 ÷ 37 | leaves 25 |
Questions
Is 3984 a prime number?
No, 3984 is not a prime number. It is divisible by 2: 3984 = 2 × 1992.
What is the next prime after 3984?
3989.
What is the prime number before 3984?
3967.
What are the factors of 3984?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984.