Is 438 a prime number?
No, 438 is not a prime number. It is divisible by 2: 438 = 2 × 219.
Is 438 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 √438 ≈ 20.93. If none of them divides 438, it is prime.
- 3
2 divides 438 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 438 = 2 \times 3 \times 73 \]
Testing 438 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 438 ÷ 2 | divides exactly (219) |
| 3 | 438 ÷ 3 | divides exactly (146) |
| 5 | 438 ÷ 5 | leaves 3 |
| 7 | 438 ÷ 7 | leaves 4 |
| 11 | 438 ÷ 11 | leaves 9 |
| 13 | 438 ÷ 13 | leaves 9 |
| 17 | 438 ÷ 17 | leaves 13 |
| 19 | 438 ÷ 19 | leaves 1 |
Questions
Is 438 a prime number?
No, 438 is not a prime number. It is divisible by 2: 438 = 2 × 219.
What is the next prime after 438?
439.
What is the prime number before 438?
433.
What are the factors of 438?
1, 2, 3, 6, 73, 146, 219, 438.