Is 1105 a prime number?
No, 1105 is not a prime number. It is divisible by 5: 1105 = 5 × 221.
Is 1105 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 √1105 ≈ 33.24. If none of them divides 1105, it is prime.
- 3
5 divides 1105 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1105 = 5 \times 13 \times 17 \]
Testing 1105 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1105 ÷ 2 | leaves 1 |
| 3 | 1105 ÷ 3 | leaves 1 |
| 5 | 1105 ÷ 5 | divides exactly (221) |
| 7 | 1105 ÷ 7 | leaves 6 |
| 11 | 1105 ÷ 11 | leaves 5 |
| 13 | 1105 ÷ 13 | divides exactly (85) |
| 17 | 1105 ÷ 17 | divides exactly (65) |
| 19 | 1105 ÷ 19 | leaves 3 |
| 23 | 1105 ÷ 23 | leaves 1 |
| 29 | 1105 ÷ 29 | leaves 3 |
| 31 | 1105 ÷ 31 | leaves 20 |
Questions
Is 1105 a prime number?
No, 1105 is not a prime number. It is divisible by 5: 1105 = 5 × 221.
What is the next prime after 1105?
1109.
What is the prime number before 1105?
1103.
What are the factors of 1105?
1, 5, 13, 17, 65, 85, 221, 1105.