Is 7104 a prime number?
No, 7104 is not a prime number. It is divisible by 2: 7104 = 2 × 3552.
Is 7104 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 √7104 ≈ 84.29. If none of them divides 7104, it is prime.
- 3
2 divides 7104 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7104 = 2^{6} \times 3 \times 37 \]Testing 7104 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7104 ÷ 2 | divides exactly (3552) |
| 3 | 7104 ÷ 3 | divides exactly (2368) |
| 5 | 7104 ÷ 5 | leaves 4 |
| 7 | 7104 ÷ 7 | leaves 6 |
| 11 | 7104 ÷ 11 | leaves 9 |
| 13 | 7104 ÷ 13 | leaves 6 |
| 17 | 7104 ÷ 17 | leaves 15 |
| 19 | 7104 ÷ 19 | leaves 17 |
| 23 | 7104 ÷ 23 | leaves 20 |
| 29 | 7104 ÷ 29 | leaves 28 |
| 31 | 7104 ÷ 31 | leaves 5 |
| 37 | 7104 ÷ 37 | divides exactly (192) |
Questions
Is 7104 a prime number?
No, 7104 is not a prime number. It is divisible by 2: 7104 = 2 × 3552.
What is the next prime after 7104?
7109.
What is the prime number before 7104?
7103.
What are the factors of 7104?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 64, 74, 96, 111, 148, 192, 222, 296, 444, 592, 888, 1184, 1776, 2368, 3552, 7104.