Is 2993 a prime number?
No, 2993 is not a prime number. It is divisible by 41: 2993 = 41 × 73.
Is 2993 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 √2993 ≈ 54.71. If none of them divides 2993, it is prime.
- 3
41 divides 2993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2993 = 41 \times 73 \]
Testing 2993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2993 ÷ 2 | leaves 1 |
| 3 | 2993 ÷ 3 | leaves 2 |
| 5 | 2993 ÷ 5 | leaves 3 |
| 7 | 2993 ÷ 7 | leaves 4 |
| 11 | 2993 ÷ 11 | leaves 1 |
| 13 | 2993 ÷ 13 | leaves 3 |
| 17 | 2993 ÷ 17 | leaves 1 |
| 19 | 2993 ÷ 19 | leaves 10 |
| 23 | 2993 ÷ 23 | leaves 3 |
| 29 | 2993 ÷ 29 | leaves 6 |
| 31 | 2993 ÷ 31 | leaves 17 |
| 37 | 2993 ÷ 37 | leaves 33 |
Questions
Is 2993 a prime number?
No, 2993 is not a prime number. It is divisible by 41: 2993 = 41 × 73.
What is the next prime after 2993?
2999.
What is the prime number before 2993?
2971.
What are the factors of 2993?
1, 41, 73, 2993.