Is 2704 a prime number?
No, 2704 is not a prime number. It is divisible by 2: 2704 = 2 × 1352.
Is 2704 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 √2704 ≈ 52.00. If none of them divides 2704, it is prime.
- 3
2 divides 2704 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2704 = 2^{4} \times 13^{2} \]Testing 2704 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2704 ÷ 2 | divides exactly (1352) |
| 3 | 2704 ÷ 3 | leaves 1 |
| 5 | 2704 ÷ 5 | leaves 4 |
| 7 | 2704 ÷ 7 | leaves 2 |
| 11 | 2704 ÷ 11 | leaves 9 |
| 13 | 2704 ÷ 13 | divides exactly (208) |
| 17 | 2704 ÷ 17 | leaves 1 |
| 19 | 2704 ÷ 19 | leaves 6 |
| 23 | 2704 ÷ 23 | leaves 13 |
| 29 | 2704 ÷ 29 | leaves 7 |
| 31 | 2704 ÷ 31 | leaves 7 |
| 37 | 2704 ÷ 37 | leaves 3 |
Questions
Is 2704 a prime number?
No, 2704 is not a prime number. It is divisible by 2: 2704 = 2 × 1352.
What is the next prime after 2704?
2707.
What is the prime number before 2704?
2699.
What are the factors of 2704?
1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704.