Is 5304 a prime number?
No, 5304 is not a prime number. It is divisible by 2: 5304 = 2 × 2652.
Is 5304 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 √5304 ≈ 72.83. If none of them divides 5304, it is prime.
- 3
2 divides 5304 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5304 = 2^{3} \times 3 \times 13 \times 17 \]Testing 5304 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5304 ÷ 2 | divides exactly (2652) |
| 3 | 5304 ÷ 3 | divides exactly (1768) |
| 5 | 5304 ÷ 5 | leaves 4 |
| 7 | 5304 ÷ 7 | leaves 5 |
| 11 | 5304 ÷ 11 | leaves 2 |
| 13 | 5304 ÷ 13 | divides exactly (408) |
| 17 | 5304 ÷ 17 | divides exactly (312) |
| 19 | 5304 ÷ 19 | leaves 3 |
| 23 | 5304 ÷ 23 | leaves 14 |
| 29 | 5304 ÷ 29 | leaves 26 |
| 31 | 5304 ÷ 31 | leaves 3 |
| 37 | 5304 ÷ 37 | leaves 13 |
Questions
Is 5304 a prime number?
No, 5304 is not a prime number. It is divisible by 2: 5304 = 2 × 2652.
What is the next prime after 5304?
5309.
What is the prime number before 5304?
5303.
What are the factors of 5304?
1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304.