Is 1988 a prime number?
No, 1988 is not a prime number. It is divisible by 2: 1988 = 2 × 994.
Is 1988 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 √1988 ≈ 44.59. If none of them divides 1988, it is prime.
- 3
2 divides 1988 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1988 = 2^{2} \times 7 \times 71 \]Testing 1988 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1988 ÷ 2 | divides exactly (994) |
| 3 | 1988 ÷ 3 | leaves 2 |
| 5 | 1988 ÷ 5 | leaves 3 |
| 7 | 1988 ÷ 7 | divides exactly (284) |
| 11 | 1988 ÷ 11 | leaves 8 |
| 13 | 1988 ÷ 13 | leaves 12 |
| 17 | 1988 ÷ 17 | leaves 16 |
| 19 | 1988 ÷ 19 | leaves 12 |
| 23 | 1988 ÷ 23 | leaves 10 |
| 29 | 1988 ÷ 29 | leaves 16 |
| 31 | 1988 ÷ 31 | leaves 4 |
| 37 | 1988 ÷ 37 | leaves 27 |
Questions
Is 1988 a prime number?
No, 1988 is not a prime number. It is divisible by 2: 1988 = 2 × 994.
What is the next prime after 1988?
1993.
What is the prime number before 1988?
1987.
What are the factors of 1988?
1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988.