Is 3366 a prime number?
No, 3366 is not a prime number. It is divisible by 2: 3366 = 2 × 1683.
Is 3366 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 √3366 ≈ 58.02. If none of them divides 3366, it is prime.
- 3
2 divides 3366 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3366 = 2 \times 3^{2} \times 11 \times 17 \]Testing 3366 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3366 ÷ 2 | divides exactly (1683) |
| 3 | 3366 ÷ 3 | divides exactly (1122) |
| 5 | 3366 ÷ 5 | leaves 1 |
| 7 | 3366 ÷ 7 | leaves 6 |
| 11 | 3366 ÷ 11 | divides exactly (306) |
| 13 | 3366 ÷ 13 | leaves 12 |
| 17 | 3366 ÷ 17 | divides exactly (198) |
| 19 | 3366 ÷ 19 | leaves 3 |
| 23 | 3366 ÷ 23 | leaves 8 |
| 29 | 3366 ÷ 29 | leaves 2 |
| 31 | 3366 ÷ 31 | leaves 18 |
| 37 | 3366 ÷ 37 | leaves 36 |
Questions
Is 3366 a prime number?
No, 3366 is not a prime number. It is divisible by 2: 3366 = 2 × 1683.
What is the next prime after 3366?
3371.
What is the prime number before 3366?
3361.
What are the factors of 3366?
1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366.