Is 5382 a prime number?
No, 5382 is not a prime number. It is divisible by 2: 5382 = 2 × 2691.
Is 5382 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 √5382 ≈ 73.36. If none of them divides 5382, it is prime.
- 3
2 divides 5382 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5382 = 2 \times 3^{2} \times 13 \times 23 \]Testing 5382 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5382 ÷ 2 | divides exactly (2691) |
| 3 | 5382 ÷ 3 | divides exactly (1794) |
| 5 | 5382 ÷ 5 | leaves 2 |
| 7 | 5382 ÷ 7 | leaves 6 |
| 11 | 5382 ÷ 11 | leaves 3 |
| 13 | 5382 ÷ 13 | divides exactly (414) |
| 17 | 5382 ÷ 17 | leaves 10 |
| 19 | 5382 ÷ 19 | leaves 5 |
| 23 | 5382 ÷ 23 | divides exactly (234) |
| 29 | 5382 ÷ 29 | leaves 17 |
| 31 | 5382 ÷ 31 | leaves 19 |
| 37 | 5382 ÷ 37 | leaves 17 |
Questions
Is 5382 a prime number?
No, 5382 is not a prime number. It is divisible by 2: 5382 = 2 × 2691.
What is the next prime after 5382?
5387.
What is the prime number before 5382?
5381.
What are the factors of 5382?
1, 2, 3, 6, 9, 13, 18, 23, 26, 39, 46, 69, 78, 117, 138, 207, 234, 299, 414, 598, 897, 1794, 2691, 5382.