Is 1977 a prime number?
No, 1977 is not a prime number. It is divisible by 3: 1977 = 3 × 659.
Is 1977 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 √1977 ≈ 44.46. If none of them divides 1977, it is prime.
- 3
3 divides 1977 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1977 = 3 \times 659 \]
Testing 1977 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1977 ÷ 2 | leaves 1 |
| 3 | 1977 ÷ 3 | divides exactly (659) |
| 5 | 1977 ÷ 5 | leaves 2 |
| 7 | 1977 ÷ 7 | leaves 3 |
| 11 | 1977 ÷ 11 | leaves 8 |
| 13 | 1977 ÷ 13 | leaves 1 |
| 17 | 1977 ÷ 17 | leaves 5 |
| 19 | 1977 ÷ 19 | leaves 1 |
| 23 | 1977 ÷ 23 | leaves 22 |
| 29 | 1977 ÷ 29 | leaves 5 |
| 31 | 1977 ÷ 31 | leaves 24 |
| 37 | 1977 ÷ 37 | leaves 16 |
Questions
Is 1977 a prime number?
No, 1977 is not a prime number. It is divisible by 3: 1977 = 3 × 659.
What is the next prime after 1977?
1979.
What is the prime number before 1977?
1973.
What are the factors of 1977?
1, 3, 659, 1977.