Is 1344 a prime number?
No, 1344 is not a prime number. It is divisible by 2: 1344 = 2 × 672.
Is 1344 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 √1344 ≈ 36.66. If none of them divides 1344, it is prime.
- 3
2 divides 1344 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1344 = 2^{6} \times 3 \times 7 \]Testing 1344 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1344 ÷ 2 | divides exactly (672) |
| 3 | 1344 ÷ 3 | divides exactly (448) |
| 5 | 1344 ÷ 5 | leaves 4 |
| 7 | 1344 ÷ 7 | divides exactly (192) |
| 11 | 1344 ÷ 11 | leaves 2 |
| 13 | 1344 ÷ 13 | leaves 5 |
| 17 | 1344 ÷ 17 | leaves 1 |
| 19 | 1344 ÷ 19 | leaves 14 |
| 23 | 1344 ÷ 23 | leaves 10 |
| 29 | 1344 ÷ 29 | leaves 10 |
| 31 | 1344 ÷ 31 | leaves 11 |
Questions
Is 1344 a prime number?
No, 1344 is not a prime number. It is divisible by 2: 1344 = 2 × 672.
What is the next prime after 1344?
1361.
What is the prime number before 1344?
1327.
What are the factors of 1344?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.