Is 5488 a prime number?
No, 5488 is not a prime number. It is divisible by 2: 5488 = 2 × 2744.
Is 5488 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 √5488 ≈ 74.08. If none of them divides 5488, it is prime.
- 3
2 divides 5488 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5488 = 2^{4} \times 7^{3} \]Testing 5488 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5488 ÷ 2 | divides exactly (2744) |
| 3 | 5488 ÷ 3 | leaves 1 |
| 5 | 5488 ÷ 5 | leaves 3 |
| 7 | 5488 ÷ 7 | divides exactly (784) |
| 11 | 5488 ÷ 11 | leaves 10 |
| 13 | 5488 ÷ 13 | leaves 2 |
| 17 | 5488 ÷ 17 | leaves 14 |
| 19 | 5488 ÷ 19 | leaves 16 |
| 23 | 5488 ÷ 23 | leaves 14 |
| 29 | 5488 ÷ 29 | leaves 7 |
| 31 | 5488 ÷ 31 | leaves 1 |
| 37 | 5488 ÷ 37 | leaves 12 |
Questions
Is 5488 a prime number?
No, 5488 is not a prime number. It is divisible by 2: 5488 = 2 × 2744.
What is the next prime after 5488?
5501.
What is the prime number before 5488?
5483.
What are the factors of 5488?
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488.