Every counting number has an infinite number of

Options

A. factors
B. multiples
C. prime factors
D. none of these

Answer

To solve the question "Every counting number has an infinite number of what?", we need to understand the concept of counting numbers and their properties.

### Step-by-Step Solution:

1. **Identify Counting Numbers**:
- Counting numbers are the positive integers starting from 1, 2, 3, and so on. They are also known as natural numbers.

2. **Understanding Multiples**:
- A multiple of a number is obtained by multiplying that number by any integer. For example, the multiples of 2 are 2, 4, 6, 8, 10, and so on.

3. **Finding Multiples of a Counting Number**:
- Let's take a specific counting number, say 2. The multiples of 2 can be found by multiplying 2 by integers:
- 2 × 1 = 2
- 2 × 2 = 4
- 2 × 3 = 6
- 2 × 4 = 8
- And this can continue indefinitely.

4. **Generalizing for Any Counting Number**:
- This concept applies to any counting number. For example, for the counting number 3:
- 3 × 1 = 3
- 3 × 2 = 6
- 3 × 3 = 9
- 3 × 4 = 12
- Again, this can continue indefinitely.

5. **Conclusion**:
- Therefore, we can conclude that every counting number has an infinite number of multiples.

### Final Answer:
Every counting number has an infinite number of multiples.