Is 1364 a prime number?
No, 1364 is not a prime number. It is divisible by 2: 1364 = 2 × 682.
Is 1364 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 √1364 ≈ 36.93. If none of them divides 1364, it is prime.
- 3
2 divides 1364 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1364 = 2^{2} \times 11 \times 31 \]Testing 1364 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1364 ÷ 2 | divides exactly (682) |
| 3 | 1364 ÷ 3 | leaves 2 |
| 5 | 1364 ÷ 5 | leaves 4 |
| 7 | 1364 ÷ 7 | leaves 6 |
| 11 | 1364 ÷ 11 | divides exactly (124) |
| 13 | 1364 ÷ 13 | leaves 12 |
| 17 | 1364 ÷ 17 | leaves 4 |
| 19 | 1364 ÷ 19 | leaves 15 |
| 23 | 1364 ÷ 23 | leaves 7 |
| 29 | 1364 ÷ 29 | leaves 1 |
| 31 | 1364 ÷ 31 | divides exactly (44) |
Questions
Is 1364 a prime number?
No, 1364 is not a prime number. It is divisible by 2: 1364 = 2 × 682.
What is the next prime after 1364?
1367.
What is the prime number before 1364?
1361.
What are the factors of 1364?
1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364.