Is 3384 a prime number?
No, 3384 is not a prime number. It is divisible by 2: 3384 = 2 × 1692.
Is 3384 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 √3384 ≈ 58.17. If none of them divides 3384, it is prime.
- 3
2 divides 3384 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3384 = 2^{3} \times 3^{2} \times 47 \]Testing 3384 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3384 ÷ 2 | divides exactly (1692) |
| 3 | 3384 ÷ 3 | divides exactly (1128) |
| 5 | 3384 ÷ 5 | leaves 4 |
| 7 | 3384 ÷ 7 | leaves 3 |
| 11 | 3384 ÷ 11 | leaves 7 |
| 13 | 3384 ÷ 13 | leaves 4 |
| 17 | 3384 ÷ 17 | leaves 1 |
| 19 | 3384 ÷ 19 | leaves 2 |
| 23 | 3384 ÷ 23 | leaves 3 |
| 29 | 3384 ÷ 29 | leaves 20 |
| 31 | 3384 ÷ 31 | leaves 5 |
| 37 | 3384 ÷ 37 | leaves 17 |
Questions
Is 3384 a prime number?
No, 3384 is not a prime number. It is divisible by 2: 3384 = 2 × 1692.
What is the next prime after 3384?
3389.
What is the prime number before 3384?
3373.
What are the factors of 3384?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384.