Is 5385 a prime number?
No, 5385 is not a prime number. It is divisible by 3: 5385 = 3 × 1795.
Is 5385 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 √5385 ≈ 73.38. If none of them divides 5385, it is prime.
- 3
3 divides 5385 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5385 = 3 \times 5 \times 359 \]
Testing 5385 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5385 ÷ 2 | leaves 1 |
| 3 | 5385 ÷ 3 | divides exactly (1795) |
| 5 | 5385 ÷ 5 | divides exactly (1077) |
| 7 | 5385 ÷ 7 | leaves 2 |
| 11 | 5385 ÷ 11 | leaves 6 |
| 13 | 5385 ÷ 13 | leaves 3 |
| 17 | 5385 ÷ 17 | leaves 13 |
| 19 | 5385 ÷ 19 | leaves 8 |
| 23 | 5385 ÷ 23 | leaves 3 |
| 29 | 5385 ÷ 29 | leaves 20 |
| 31 | 5385 ÷ 31 | leaves 22 |
| 37 | 5385 ÷ 37 | leaves 20 |
Questions
Is 5385 a prime number?
No, 5385 is not a prime number. It is divisible by 3: 5385 = 3 × 1795.
What is the next prime after 5385?
5387.
What is the prime number before 5385?
5381.
What are the factors of 5385?
1, 3, 5, 15, 359, 1077, 1795, 5385.