Is 3104 a prime number?
No, 3104 is not a prime number. It is divisible by 2: 3104 = 2 × 1552.
Is 3104 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 √3104 ≈ 55.71. If none of them divides 3104, it is prime.
- 3
2 divides 3104 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3104 = 2^{5} \times 97 \]Testing 3104 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3104 ÷ 2 | divides exactly (1552) |
| 3 | 3104 ÷ 3 | leaves 2 |
| 5 | 3104 ÷ 5 | leaves 4 |
| 7 | 3104 ÷ 7 | leaves 3 |
| 11 | 3104 ÷ 11 | leaves 2 |
| 13 | 3104 ÷ 13 | leaves 10 |
| 17 | 3104 ÷ 17 | leaves 10 |
| 19 | 3104 ÷ 19 | leaves 7 |
| 23 | 3104 ÷ 23 | leaves 22 |
| 29 | 3104 ÷ 29 | leaves 1 |
| 31 | 3104 ÷ 31 | leaves 4 |
| 37 | 3104 ÷ 37 | leaves 33 |
Questions
Is 3104 a prime number?
No, 3104 is not a prime number. It is divisible by 2: 3104 = 2 × 1552.
What is the next prime after 3104?
3109.
What is the prime number before 3104?
3089.
What are the factors of 3104?
1, 2, 4, 8, 16, 32, 97, 194, 388, 776, 1552, 3104.