Is 2104 a prime number?
No, 2104 is not a prime number. It is divisible by 2: 2104 = 2 × 1052.
Is 2104 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 √2104 ≈ 45.87. If none of them divides 2104, it is prime.
- 3
2 divides 2104 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2104 = 2^{3} \times 263 \]Testing 2104 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2104 ÷ 2 | divides exactly (1052) |
| 3 | 2104 ÷ 3 | leaves 1 |
| 5 | 2104 ÷ 5 | leaves 4 |
| 7 | 2104 ÷ 7 | leaves 4 |
| 11 | 2104 ÷ 11 | leaves 3 |
| 13 | 2104 ÷ 13 | leaves 11 |
| 17 | 2104 ÷ 17 | leaves 13 |
| 19 | 2104 ÷ 19 | leaves 14 |
| 23 | 2104 ÷ 23 | leaves 11 |
| 29 | 2104 ÷ 29 | leaves 16 |
| 31 | 2104 ÷ 31 | leaves 27 |
| 37 | 2104 ÷ 37 | leaves 32 |
Questions
Is 2104 a prime number?
No, 2104 is not a prime number. It is divisible by 2: 2104 = 2 × 1052.
What is the next prime after 2104?
2111.
What is the prime number before 2104?
2099.
What are the factors of 2104?
1, 2, 4, 8, 263, 526, 1052, 2104.