Is 348 a prime number?
No, 348 is not a prime number. It is divisible by 2: 348 = 2 × 174.
Is 348 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 √348 ≈ 18.65. If none of them divides 348, it is prime.
- 3
2 divides 348 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 348 = 2^{2} \times 3 \times 29 \]Testing 348 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 348 ÷ 2 | divides exactly (174) |
| 3 | 348 ÷ 3 | divides exactly (116) |
| 5 | 348 ÷ 5 | leaves 3 |
| 7 | 348 ÷ 7 | leaves 5 |
| 11 | 348 ÷ 11 | leaves 7 |
| 13 | 348 ÷ 13 | leaves 10 |
| 17 | 348 ÷ 17 | leaves 8 |
Questions
Is 348 a prime number?
No, 348 is not a prime number. It is divisible by 2: 348 = 2 × 174.
What is the next prime after 348?
349.
What is the prime number before 348?
347.
What are the factors of 348?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.