Is 2601 a prime number?
No, 2601 is not a prime number. It is divisible by 3: 2601 = 3 × 867.
Is 2601 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 √2601 ≈ 51.00. If none of them divides 2601, it is prime.
- 3
3 divides 2601 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2601 = 3^{2} \times 17^{2} \]Testing 2601 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2601 ÷ 2 | leaves 1 |
| 3 | 2601 ÷ 3 | divides exactly (867) |
| 5 | 2601 ÷ 5 | leaves 1 |
| 7 | 2601 ÷ 7 | leaves 4 |
| 11 | 2601 ÷ 11 | leaves 5 |
| 13 | 2601 ÷ 13 | leaves 1 |
| 17 | 2601 ÷ 17 | divides exactly (153) |
| 19 | 2601 ÷ 19 | leaves 17 |
| 23 | 2601 ÷ 23 | leaves 2 |
| 29 | 2601 ÷ 29 | leaves 20 |
| 31 | 2601 ÷ 31 | leaves 28 |
| 37 | 2601 ÷ 37 | leaves 11 |
Questions
Is 2601 a prime number?
No, 2601 is not a prime number. It is divisible by 3: 2601 = 3 × 867.
What is the next prime after 2601?
2609.
What is the prime number before 2601?
2593.
What are the factors of 2601?
1, 3, 9, 17, 51, 153, 289, 867, 2601.