Is 1304 a prime number?
No, 1304 is not a prime number. It is divisible by 2: 1304 = 2 × 652.
Is 1304 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 √1304 ≈ 36.11. If none of them divides 1304, it is prime.
- 3
2 divides 1304 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1304 = 2^{3} \times 163 \]Testing 1304 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1304 ÷ 2 | divides exactly (652) |
| 3 | 1304 ÷ 3 | leaves 2 |
| 5 | 1304 ÷ 5 | leaves 4 |
| 7 | 1304 ÷ 7 | leaves 2 |
| 11 | 1304 ÷ 11 | leaves 6 |
| 13 | 1304 ÷ 13 | leaves 4 |
| 17 | 1304 ÷ 17 | leaves 12 |
| 19 | 1304 ÷ 19 | leaves 12 |
| 23 | 1304 ÷ 23 | leaves 16 |
| 29 | 1304 ÷ 29 | leaves 28 |
| 31 | 1304 ÷ 31 | leaves 2 |
Questions
Is 1304 a prime number?
No, 1304 is not a prime number. It is divisible by 2: 1304 = 2 × 652.
What is the next prime after 1304?
1307.
What is the prime number before 1304?
1303.
What are the factors of 1304?
1, 2, 4, 8, 163, 326, 652, 1304.