Is 1992 a prime number?
No, 1992 is not a prime number. It is divisible by 2: 1992 = 2 × 996.
Is 1992 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 √1992 ≈ 44.63. If none of them divides 1992, it is prime.
- 3
2 divides 1992 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1992 = 2^{3} \times 3 \times 83 \]Testing 1992 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1992 ÷ 2 | divides exactly (996) |
| 3 | 1992 ÷ 3 | divides exactly (664) |
| 5 | 1992 ÷ 5 | leaves 2 |
| 7 | 1992 ÷ 7 | leaves 4 |
| 11 | 1992 ÷ 11 | leaves 1 |
| 13 | 1992 ÷ 13 | leaves 3 |
| 17 | 1992 ÷ 17 | leaves 3 |
| 19 | 1992 ÷ 19 | leaves 16 |
| 23 | 1992 ÷ 23 | leaves 14 |
| 29 | 1992 ÷ 29 | leaves 20 |
| 31 | 1992 ÷ 31 | leaves 8 |
| 37 | 1992 ÷ 37 | leaves 31 |
Questions
Is 1992 a prime number?
No, 1992 is not a prime number. It is divisible by 2: 1992 = 2 × 996.
What is the next prime after 1992?
1993.
What is the prime number before 1992?
1987.
What are the factors of 1992?
1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992.