Is 3321 a prime number?
No, 3321 is not a prime number. It is divisible by 3: 3321 = 3 × 1107.
Is 3321 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 √3321 ≈ 57.63. If none of them divides 3321, it is prime.
- 3
3 divides 3321 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3321 = 3^{4} \times 41 \]Testing 3321 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3321 ÷ 2 | leaves 1 |
| 3 | 3321 ÷ 3 | divides exactly (1107) |
| 5 | 3321 ÷ 5 | leaves 1 |
| 7 | 3321 ÷ 7 | leaves 3 |
| 11 | 3321 ÷ 11 | leaves 10 |
| 13 | 3321 ÷ 13 | leaves 6 |
| 17 | 3321 ÷ 17 | leaves 6 |
| 19 | 3321 ÷ 19 | leaves 15 |
| 23 | 3321 ÷ 23 | leaves 9 |
| 29 | 3321 ÷ 29 | leaves 15 |
| 31 | 3321 ÷ 31 | leaves 4 |
| 37 | 3321 ÷ 37 | leaves 28 |
Questions
Is 3321 a prime number?
No, 3321 is not a prime number. It is divisible by 3: 3321 = 3 × 1107.
What is the next prime after 3321?
3323.
What is the prime number before 3321?
3319.
What are the factors of 3321?
1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321.