Is 1984 a prime number?
No, 1984 is not a prime number. It is divisible by 2: 1984 = 2 × 992.
Is 1984 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 √1984 ≈ 44.54. If none of them divides 1984, it is prime.
- 3
2 divides 1984 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1984 = 2^{6} \times 31 \]Testing 1984 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1984 ÷ 2 | divides exactly (992) |
| 3 | 1984 ÷ 3 | leaves 1 |
| 5 | 1984 ÷ 5 | leaves 4 |
| 7 | 1984 ÷ 7 | leaves 3 |
| 11 | 1984 ÷ 11 | leaves 4 |
| 13 | 1984 ÷ 13 | leaves 8 |
| 17 | 1984 ÷ 17 | leaves 12 |
| 19 | 1984 ÷ 19 | leaves 8 |
| 23 | 1984 ÷ 23 | leaves 6 |
| 29 | 1984 ÷ 29 | leaves 12 |
| 31 | 1984 ÷ 31 | divides exactly (64) |
| 37 | 1984 ÷ 37 | leaves 23 |
Questions
Is 1984 a prime number?
No, 1984 is not a prime number. It is divisible by 2: 1984 = 2 × 992.
What is the next prime after 1984?
1987.
What is the prime number before 1984?
1979.
What are the factors of 1984?
1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984.