Is 1338 a prime number?
No, 1338 is not a prime number. It is divisible by 2: 1338 = 2 × 669.
Is 1338 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 √1338 ≈ 36.58. If none of them divides 1338, it is prime.
- 3
2 divides 1338 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1338 = 2 \times 3 \times 223 \]
Testing 1338 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1338 ÷ 2 | divides exactly (669) |
| 3 | 1338 ÷ 3 | divides exactly (446) |
| 5 | 1338 ÷ 5 | leaves 3 |
| 7 | 1338 ÷ 7 | leaves 1 |
| 11 | 1338 ÷ 11 | leaves 7 |
| 13 | 1338 ÷ 13 | leaves 12 |
| 17 | 1338 ÷ 17 | leaves 12 |
| 19 | 1338 ÷ 19 | leaves 8 |
| 23 | 1338 ÷ 23 | leaves 4 |
| 29 | 1338 ÷ 29 | leaves 4 |
| 31 | 1338 ÷ 31 | leaves 5 |
Questions
Is 1338 a prime number?
No, 1338 is not a prime number. It is divisible by 2: 1338 = 2 × 669.
What is the next prime after 1338?
1361.
What is the prime number before 1338?
1327.
What are the factors of 1338?
1, 2, 3, 6, 223, 446, 669, 1338.