Is 3388 a prime number?
No, 3388 is not a prime number. It is divisible by 2: 3388 = 2 × 1694.
Is 3388 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 √3388 ≈ 58.21. If none of them divides 3388, it is prime.
- 3
2 divides 3388 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3388 = 2^{2} \times 7 \times 11^{2} \]Testing 3388 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3388 ÷ 2 | divides exactly (1694) |
| 3 | 3388 ÷ 3 | leaves 1 |
| 5 | 3388 ÷ 5 | leaves 3 |
| 7 | 3388 ÷ 7 | divides exactly (484) |
| 11 | 3388 ÷ 11 | divides exactly (308) |
| 13 | 3388 ÷ 13 | leaves 8 |
| 17 | 3388 ÷ 17 | leaves 5 |
| 19 | 3388 ÷ 19 | leaves 6 |
| 23 | 3388 ÷ 23 | leaves 7 |
| 29 | 3388 ÷ 29 | leaves 24 |
| 31 | 3388 ÷ 31 | leaves 9 |
| 37 | 3388 ÷ 37 | leaves 21 |
Questions
Is 3388 a prime number?
No, 3388 is not a prime number. It is divisible by 2: 3388 = 2 × 1694.
What is the next prime after 3388?
3389.
What is the prime number before 3388?
3373.
What are the factors of 3388?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388.