Is 5508 a prime number?
No, 5508 is not a prime number. It is divisible by 2: 5508 = 2 × 2754.
Is 5508 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 √5508 ≈ 74.22. If none of them divides 5508, it is prime.
- 3
2 divides 5508 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5508 = 2^{2} \times 3^{4} \times 17 \]Testing 5508 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5508 ÷ 2 | divides exactly (2754) |
| 3 | 5508 ÷ 3 | divides exactly (1836) |
| 5 | 5508 ÷ 5 | leaves 3 |
| 7 | 5508 ÷ 7 | leaves 6 |
| 11 | 5508 ÷ 11 | leaves 8 |
| 13 | 5508 ÷ 13 | leaves 9 |
| 17 | 5508 ÷ 17 | divides exactly (324) |
| 19 | 5508 ÷ 19 | leaves 17 |
| 23 | 5508 ÷ 23 | leaves 11 |
| 29 | 5508 ÷ 29 | leaves 27 |
| 31 | 5508 ÷ 31 | leaves 21 |
| 37 | 5508 ÷ 37 | leaves 32 |
Questions
Is 5508 a prime number?
No, 5508 is not a prime number. It is divisible by 2: 5508 = 2 × 2754.
What is the next prime after 5508?
5519.
What is the prime number before 5508?
5507.
What are the factors of 5508?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508.