Is 5504 a prime number?
No, 5504 is not a prime number. It is divisible by 2: 5504 = 2 × 2752.
Is 5504 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 √5504 ≈ 74.19. If none of them divides 5504, it is prime.
- 3
2 divides 5504 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5504 = 2^{7} \times 43 \]Testing 5504 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5504 ÷ 2 | divides exactly (2752) |
| 3 | 5504 ÷ 3 | leaves 2 |
| 5 | 5504 ÷ 5 | leaves 4 |
| 7 | 5504 ÷ 7 | leaves 2 |
| 11 | 5504 ÷ 11 | leaves 4 |
| 13 | 5504 ÷ 13 | leaves 5 |
| 17 | 5504 ÷ 17 | leaves 13 |
| 19 | 5504 ÷ 19 | leaves 13 |
| 23 | 5504 ÷ 23 | leaves 7 |
| 29 | 5504 ÷ 29 | leaves 23 |
| 31 | 5504 ÷ 31 | leaves 17 |
| 37 | 5504 ÷ 37 | leaves 28 |
Questions
Is 5504 a prime number?
No, 5504 is not a prime number. It is divisible by 2: 5504 = 2 × 2752.
What is the next prime after 5504?
5507.
What is the prime number before 5504?
5503.
What are the factors of 5504?
1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504.