Is 3488 a prime number?
No, 3488 is not a prime number. It is divisible by 2: 3488 = 2 × 1744.
Is 3488 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 √3488 ≈ 59.06. If none of them divides 3488, it is prime.
- 3
2 divides 3488 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3488 = 2^{5} \times 109 \]Testing 3488 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3488 ÷ 2 | divides exactly (1744) |
| 3 | 3488 ÷ 3 | leaves 2 |
| 5 | 3488 ÷ 5 | leaves 3 |
| 7 | 3488 ÷ 7 | leaves 2 |
| 11 | 3488 ÷ 11 | leaves 1 |
| 13 | 3488 ÷ 13 | leaves 4 |
| 17 | 3488 ÷ 17 | leaves 3 |
| 19 | 3488 ÷ 19 | leaves 11 |
| 23 | 3488 ÷ 23 | leaves 15 |
| 29 | 3488 ÷ 29 | leaves 8 |
| 31 | 3488 ÷ 31 | leaves 16 |
| 37 | 3488 ÷ 37 | leaves 10 |
Questions
Is 3488 a prime number?
No, 3488 is not a prime number. It is divisible by 2: 3488 = 2 × 1744.
What is the next prime after 3488?
3491.
What is the prime number before 3488?
3469.
What are the factors of 3488?
1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488.