Is 3438 a prime number?
No, 3438 is not a prime number. It is divisible by 2: 3438 = 2 × 1719.
Is 3438 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 √3438 ≈ 58.63. If none of them divides 3438, it is prime.
- 3
2 divides 3438 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3438 = 2 \times 3^{2} \times 191 \]Testing 3438 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3438 ÷ 2 | divides exactly (1719) |
| 3 | 3438 ÷ 3 | divides exactly (1146) |
| 5 | 3438 ÷ 5 | leaves 3 |
| 7 | 3438 ÷ 7 | leaves 1 |
| 11 | 3438 ÷ 11 | leaves 6 |
| 13 | 3438 ÷ 13 | leaves 6 |
| 17 | 3438 ÷ 17 | leaves 4 |
| 19 | 3438 ÷ 19 | leaves 18 |
| 23 | 3438 ÷ 23 | leaves 11 |
| 29 | 3438 ÷ 29 | leaves 16 |
| 31 | 3438 ÷ 31 | leaves 28 |
| 37 | 3438 ÷ 37 | leaves 34 |
Questions
Is 3438 a prime number?
No, 3438 is not a prime number. It is divisible by 2: 3438 = 2 × 1719.
What is the next prime after 3438?
3449.
What is the prime number before 3438?
3433.
What are the factors of 3438?
1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438.