Is 2401 a prime number?
No, 2401 is not a prime number. It is divisible by 7: 2401 = 7 × 343.
Is 2401 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 √2401 ≈ 49.00. If none of them divides 2401, it is prime.
- 3
7 divides 2401 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2401 = 7^{4} \]Testing 2401 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2401 ÷ 2 | leaves 1 |
| 3 | 2401 ÷ 3 | leaves 1 |
| 5 | 2401 ÷ 5 | leaves 1 |
| 7 | 2401 ÷ 7 | divides exactly (343) |
| 11 | 2401 ÷ 11 | leaves 3 |
| 13 | 2401 ÷ 13 | leaves 9 |
| 17 | 2401 ÷ 17 | leaves 4 |
| 19 | 2401 ÷ 19 | leaves 7 |
| 23 | 2401 ÷ 23 | leaves 9 |
| 29 | 2401 ÷ 29 | leaves 23 |
| 31 | 2401 ÷ 31 | leaves 14 |
| 37 | 2401 ÷ 37 | leaves 33 |
Questions
Is 2401 a prime number?
No, 2401 is not a prime number. It is divisible by 7: 2401 = 7 × 343.
What is the next prime after 2401?
2411.
What is the prime number before 2401?
2399.
What are the factors of 2401?
1, 7, 49, 343, 2401.