Is 1104 a prime number?
No, 1104 is not a prime number. It is divisible by 2: 1104 = 2 × 552.
Is 1104 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 √1104 ≈ 33.23. If none of them divides 1104, it is prime.
- 3
2 divides 1104 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1104 = 2^{4} \times 3 \times 23 \]Testing 1104 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1104 ÷ 2 | divides exactly (552) |
| 3 | 1104 ÷ 3 | divides exactly (368) |
| 5 | 1104 ÷ 5 | leaves 4 |
| 7 | 1104 ÷ 7 | leaves 5 |
| 11 | 1104 ÷ 11 | leaves 4 |
| 13 | 1104 ÷ 13 | leaves 12 |
| 17 | 1104 ÷ 17 | leaves 16 |
| 19 | 1104 ÷ 19 | leaves 2 |
| 23 | 1104 ÷ 23 | divides exactly (48) |
| 29 | 1104 ÷ 29 | leaves 2 |
| 31 | 1104 ÷ 31 | leaves 19 |
Questions
Is 1104 a prime number?
No, 1104 is not a prime number. It is divisible by 2: 1104 = 2 × 552.
What is the next prime after 1104?
1109.
What is the prime number before 1104?
1103.
What are the factors of 1104?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104.