Is 3348 a prime number?
No, 3348 is not a prime number. It is divisible by 2: 3348 = 2 × 1674.
Is 3348 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 √3348 ≈ 57.86. If none of them divides 3348, it is prime.
- 3
2 divides 3348 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3348 = 2^{2} \times 3^{3} \times 31 \]Testing 3348 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3348 ÷ 2 | divides exactly (1674) |
| 3 | 3348 ÷ 3 | divides exactly (1116) |
| 5 | 3348 ÷ 5 | leaves 3 |
| 7 | 3348 ÷ 7 | leaves 2 |
| 11 | 3348 ÷ 11 | leaves 4 |
| 13 | 3348 ÷ 13 | leaves 7 |
| 17 | 3348 ÷ 17 | leaves 16 |
| 19 | 3348 ÷ 19 | leaves 4 |
| 23 | 3348 ÷ 23 | leaves 13 |
| 29 | 3348 ÷ 29 | leaves 13 |
| 31 | 3348 ÷ 31 | divides exactly (108) |
| 37 | 3348 ÷ 37 | leaves 18 |
Questions
Is 3348 a prime number?
No, 3348 is not a prime number. It is divisible by 2: 3348 = 2 × 1674.
What is the next prime after 3348?
3359.
What is the prime number before 3348?
3347.
What are the factors of 3348?
1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348.