Is 378 a prime number?
No, 378 is not a prime number. It is divisible by 2: 378 = 2 × 189.
Is 378 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 √378 ≈ 19.44. If none of them divides 378, it is prime.
- 3
2 divides 378 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 378 = 2 \times 3^{3} \times 7 \]Testing 378 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 378 ÷ 2 | divides exactly (189) |
| 3 | 378 ÷ 3 | divides exactly (126) |
| 5 | 378 ÷ 5 | leaves 3 |
| 7 | 378 ÷ 7 | divides exactly (54) |
| 11 | 378 ÷ 11 | leaves 4 |
| 13 | 378 ÷ 13 | leaves 1 |
| 17 | 378 ÷ 17 | leaves 4 |
| 19 | 378 ÷ 19 | leaves 17 |
Questions
Is 378 a prime number?
No, 378 is not a prime number. It is divisible by 2: 378 = 2 × 189.
What is the next prime after 378?
379.
What is the prime number before 378?
373.
What are the factors of 378?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.