Write all the composite and prime numbers between 80 and 90

Answer

To solve the question of finding all the composite and prime numbers between 80 and 90, we can follow these steps:

### Step 1: Identify the numbers between 80 and 90
The numbers between 80 and 90 are:
- 81, 82, 83, 84, 85, 86, 87, 88, 89

### Step 2: Determine which of these numbers are prime
A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. We will check each number:

- **81**: Divisible by 1, 3, 9, 27, and 81 (not prime)
- **82**: Divisible by 1, 2, 41, and 82 (not prime)
- **83**: Divisible only by 1 and 83 (prime)
- **84**: Divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84 (not prime)
- **85**: Divisible by 1, 5, 17, and 85 (not prime)
- **86**: Divisible by 1, 2, 43, and 86 (not prime)
- **87**: Divisible by 1, 3, 29, and 87 (not prime)
- **88**: Divisible by 1, 2, 4, 8, 11, 22, 44, and 88 (not prime)
- **89**: Divisible only by 1 and 89 (prime)

From this analysis, the prime numbers between 80 and 90 are:
- **83, 89**

### Step 3: Identify the composite numbers
Composite numbers are those numbers that are not prime and have more than two positive divisors. From our previous findings, the composite numbers between 80 and 90 are:
- **81, 82, 84, 85, 86, 87, 88**

### Final Result
- **Prime Numbers**: 83, 89
- **Composite Numbers**: 81, 82, 84, 85, 86, 87, 88

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