If r is a prime number greater than 2, and s is odd, what is rs?

Answer

To solve the question "If r is a prime number greater than 2, and s is odd, what is rs?", we can follow these steps:

### Step 1: Understand the properties of prime numbers
A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. The only even prime number is 2; all other prime numbers are odd.

**Hint:** Remember that the only even prime number is 2, and all other primes are odd.

### Step 2: Identify the nature of r
Since r is stated to be a prime number greater than 2, we can conclude that r must be an odd number. This is because all prime numbers greater than 2 are odd.

**Hint:** Any prime number greater than 2 must be odd.

### Step 3: Identify the nature of s
The problem states that s is an odd number. Therefore, we have two odd numbers: r (which is a prime greater than 2) and s.

**Hint:** s is explicitly given as an odd number.

### Step 4: Multiply r and s
Now we need to find the product rs. We know that the product of two odd numbers is always odd. This can be demonstrated with examples:
- For instance, 3 (odd) multiplied by 5 (odd) equals 15 (odd).
- Similarly, 7 (odd) multiplied by 9 (odd) equals 63 (odd).

**Hint:** The multiplication of two odd numbers results in an odd number.

### Step 5: Conclusion
Since both r and s are odd numbers, the product rs will also be an odd number.

**Final Answer:** rs is an odd number.