Is 2977 a prime number?
No, 2977 is not a prime number. It is divisible by 13: 2977 = 13 × 229.
Is 2977 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 √2977 ≈ 54.56. If none of them divides 2977, it is prime.
- 3
13 divides 2977 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2977 = 13 \times 229 \]
Testing 2977 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2977 ÷ 2 | leaves 1 |
| 3 | 2977 ÷ 3 | leaves 1 |
| 5 | 2977 ÷ 5 | leaves 2 |
| 7 | 2977 ÷ 7 | leaves 2 |
| 11 | 2977 ÷ 11 | leaves 7 |
| 13 | 2977 ÷ 13 | divides exactly (229) |
| 17 | 2977 ÷ 17 | leaves 2 |
| 19 | 2977 ÷ 19 | leaves 13 |
| 23 | 2977 ÷ 23 | leaves 10 |
| 29 | 2977 ÷ 29 | leaves 19 |
| 31 | 2977 ÷ 31 | leaves 1 |
| 37 | 2977 ÷ 37 | leaves 17 |
Questions
Is 2977 a prime number?
No, 2977 is not a prime number. It is divisible by 13: 2977 = 13 × 229.
What is the next prime after 2977?
2999.
What is the prime number before 2977?
2971.
What are the factors of 2977?
1, 13, 229, 2977.