Is 3441 a prime number?
No, 3441 is not a prime number. It is divisible by 3: 3441 = 3 × 1147.
Is 3441 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 √3441 ≈ 58.66. If none of them divides 3441, it is prime.
- 3
3 divides 3441 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3441 = 3 \times 31 \times 37 \]
Testing 3441 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3441 ÷ 2 | leaves 1 |
| 3 | 3441 ÷ 3 | divides exactly (1147) |
| 5 | 3441 ÷ 5 | leaves 1 |
| 7 | 3441 ÷ 7 | leaves 4 |
| 11 | 3441 ÷ 11 | leaves 9 |
| 13 | 3441 ÷ 13 | leaves 9 |
| 17 | 3441 ÷ 17 | leaves 7 |
| 19 | 3441 ÷ 19 | leaves 2 |
| 23 | 3441 ÷ 23 | leaves 14 |
| 29 | 3441 ÷ 29 | leaves 19 |
| 31 | 3441 ÷ 31 | divides exactly (111) |
| 37 | 3441 ÷ 37 | divides exactly (93) |
Questions
Is 3441 a prime number?
No, 3441 is not a prime number. It is divisible by 3: 3441 = 3 × 1147.
What is the next prime after 3441?
3449.
What is the prime number before 3441?
3433.
What are the factors of 3441?
1, 3, 31, 37, 93, 111, 1147, 3441.