Is 1980 a prime number?
No, 1980 is not a prime number. It is divisible by 2: 1980 = 2 × 990.
Is 1980 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 √1980 ≈ 44.50. If none of them divides 1980, it is prime.
- 3
2 divides 1980 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1980 = 2^{2} \times 3^{2} \times 5 \times 11 \]Testing 1980 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1980 ÷ 2 | divides exactly (990) |
| 3 | 1980 ÷ 3 | divides exactly (660) |
| 5 | 1980 ÷ 5 | divides exactly (396) |
| 7 | 1980 ÷ 7 | leaves 6 |
| 11 | 1980 ÷ 11 | divides exactly (180) |
| 13 | 1980 ÷ 13 | leaves 4 |
| 17 | 1980 ÷ 17 | leaves 8 |
| 19 | 1980 ÷ 19 | leaves 4 |
| 23 | 1980 ÷ 23 | leaves 2 |
| 29 | 1980 ÷ 29 | leaves 8 |
| 31 | 1980 ÷ 31 | leaves 27 |
| 37 | 1980 ÷ 37 | leaves 19 |
Questions
Is 1980 a prime number?
No, 1980 is not a prime number. It is divisible by 2: 1980 = 2 × 990.
What is the next prime after 1980?
1987.
What is the prime number before 1980?
1979.
What are the factors of 1980?
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980.