Is 8704 a prime number?
No, 8704 is not a prime number. It is divisible by 2: 8704 = 2 × 4352.
Is 8704 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 √8704 ≈ 93.30. If none of them divides 8704, it is prime.
- 3
2 divides 8704 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8704 = 2^{9} \times 17 \]Testing 8704 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8704 ÷ 2 | divides exactly (4352) |
| 3 | 8704 ÷ 3 | leaves 1 |
| 5 | 8704 ÷ 5 | leaves 4 |
| 7 | 8704 ÷ 7 | leaves 3 |
| 11 | 8704 ÷ 11 | leaves 3 |
| 13 | 8704 ÷ 13 | leaves 7 |
| 17 | 8704 ÷ 17 | divides exactly (512) |
| 19 | 8704 ÷ 19 | leaves 2 |
| 23 | 8704 ÷ 23 | leaves 10 |
| 29 | 8704 ÷ 29 | leaves 4 |
| 31 | 8704 ÷ 31 | leaves 24 |
| 37 | 8704 ÷ 37 | leaves 9 |
Questions
Is 8704 a prime number?
No, 8704 is not a prime number. It is divisible by 2: 8704 = 2 × 4352.
What is the next prime after 8704?
8707.
What is the prime number before 8704?
8699.
What are the factors of 8704?
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704.