Is 2701 a prime number?
No, 2701 is not a prime number. It is divisible by 37: 2701 = 37 × 73.
Is 2701 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 √2701 ≈ 51.97. If none of them divides 2701, it is prime.
- 3
37 divides 2701 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2701 = 37 \times 73 \]
Testing 2701 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2701 ÷ 2 | leaves 1 |
| 3 | 2701 ÷ 3 | leaves 1 |
| 5 | 2701 ÷ 5 | leaves 1 |
| 7 | 2701 ÷ 7 | leaves 6 |
| 11 | 2701 ÷ 11 | leaves 6 |
| 13 | 2701 ÷ 13 | leaves 10 |
| 17 | 2701 ÷ 17 | leaves 15 |
| 19 | 2701 ÷ 19 | leaves 3 |
| 23 | 2701 ÷ 23 | leaves 10 |
| 29 | 2701 ÷ 29 | leaves 4 |
| 31 | 2701 ÷ 31 | leaves 4 |
| 37 | 2701 ÷ 37 | divides exactly (73) |
Questions
Is 2701 a prime number?
No, 2701 is not a prime number. It is divisible by 37: 2701 = 37 × 73.
What is the next prime after 2701?
2707.
What is the prime number before 2701?
2699.
What are the factors of 2701?
1, 37, 73, 2701.