Show whether:
Number 5 cannot be shown as a rectangle of dots.

Answer

To determine whether the number 5 can be represented as a rectangle of dots, we need to analyze its factors.

### Step-by-Step Solution:

1. **Understanding the Concept of Rectangle of Dots**:
A number can be represented as a rectangle of dots if it can be arranged in a rectangular formation, which means it can be expressed as the product of two whole numbers (length and breadth) greater than 1.

2. **Finding Factors of 5**:
The factors of 5 are the numbers that can multiply together to give 5. The factors of 5 are:
- 1 and 5
- Since 5 is a prime number, it does not have any other factors.

3. **Checking the Factor Pairs**:
The only pair of factors for 5 is (1, 5). This means:
- 5 = 1 × 5
- Here, one of the factors is 1.

4. **Conclusion**:
Since one of the factors is 1, we cannot form a rectangle with both dimensions greater than 1. Therefore, the number 5 cannot be represented as a rectangle of dots.

### Final Statement:
Thus, it is concluded that the number 5 cannot be shown as a rectangle of dots.

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