Is 3289 a prime number?
No, 3289 is not a prime number. It is divisible by 11: 3289 = 11 × 299.
Is 3289 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 √3289 ≈ 57.35. If none of them divides 3289, it is prime.
- 3
11 divides 3289 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3289 = 11 \times 13 \times 23 \]
Testing 3289 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3289 ÷ 2 | leaves 1 |
| 3 | 3289 ÷ 3 | leaves 1 |
| 5 | 3289 ÷ 5 | leaves 4 |
| 7 | 3289 ÷ 7 | leaves 6 |
| 11 | 3289 ÷ 11 | divides exactly (299) |
| 13 | 3289 ÷ 13 | divides exactly (253) |
| 17 | 3289 ÷ 17 | leaves 8 |
| 19 | 3289 ÷ 19 | leaves 2 |
| 23 | 3289 ÷ 23 | divides exactly (143) |
| 29 | 3289 ÷ 29 | leaves 12 |
| 31 | 3289 ÷ 31 | leaves 3 |
| 37 | 3289 ÷ 37 | leaves 33 |
Questions
Is 3289 a prime number?
No, 3289 is not a prime number. It is divisible by 11: 3289 = 11 × 299.
What is the next prime after 3289?
3299.
What is the prime number before 3289?
3271.
What are the factors of 3289?
1, 11, 13, 23, 143, 253, 299, 3289.