Is 1100 a prime number?
No, 1100 is not a prime number. It is divisible by 2: 1100 = 2 × 550.
Is 1100 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 √1100 ≈ 33.17. If none of them divides 1100, it is prime.
- 3
2 divides 1100 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1100 = 2^{2} \times 5^{2} \times 11 \]Testing 1100 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1100 ÷ 2 | divides exactly (550) |
| 3 | 1100 ÷ 3 | leaves 2 |
| 5 | 1100 ÷ 5 | divides exactly (220) |
| 7 | 1100 ÷ 7 | leaves 1 |
| 11 | 1100 ÷ 11 | divides exactly (100) |
| 13 | 1100 ÷ 13 | leaves 8 |
| 17 | 1100 ÷ 17 | leaves 12 |
| 19 | 1100 ÷ 19 | leaves 17 |
| 23 | 1100 ÷ 23 | leaves 19 |
| 29 | 1100 ÷ 29 | leaves 27 |
| 31 | 1100 ÷ 31 | leaves 15 |
Questions
Is 1100 a prime number?
No, 1100 is not a prime number. It is divisible by 2: 1100 = 2 × 550.
What is the next prime after 1100?
1103.
What is the prime number before 1100?
1097.
What are the factors of 1100?
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100.