Factors and Multiples Worksheet - Free Printable

The task in the image involves practicing multiplication by starting with a given number and tracing its multiples from least to greatest. The goal is to identify and trace the multiples of a specific number within a grid of numbers.

Step-by-Step Solution:

#### 1. Understanding the Task:
- Start with the first number (bolded).
- Trace its multiples from least to greatest.
- Highlight or trace the path of these multiples through the grid.

#### 2. Analyzing the Example:
- In the "Helpful Example," the number 4 is bolded.
- Multiples of 4 are: \( 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 \).
- These multiples are traced in the grid provided.

#### 3. Solving Each Section:

##### Section 1:
- Bolded Number: 3
- Multiples of 3: \( 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39 \)
- Path in the Grid:
- Start at 3.
- Trace through: 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39.

##### Section 2:
- Bolded Number: 4
- Multiples of 4: \( 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 \)
- Path in the Grid:
- Start at 4.
- Trace through: 8, 12, 16, 20, 24, 28, 32, 36, 40, 44.

##### Section 3:
- Bolded Number: 6
- Multiples of 6: \( 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 \)
- Path in the Grid:
- Start at 6.
- Trace through: 12, 18, 24, 30, 36, 42, 48, 54, 60, 66.

##### Section 4:
- Bolded Number: 5
- Multiples of 5: \( 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 \)
- Path in the Grid:
- Start at 5.
- Trace through: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55.

##### Section 5:
- Bolded Number: 10
- Multiples of 10: \( 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110 \)
- Path in the Grid:
- Start at 10.
- Trace through: 20, 30, 40, 50, 60, 70, 80, 90, 100, 110.

Final Answer:

The solution involves tracing the multiples of each bolded number in their respective grids. Here’s a summary of the paths:

1. Section 1 (Bolded 3): \( 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39 \)
2. Section 2 (Bolded 4): \( 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 \)
3. Section 3 (Bolded 6): \( 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 \)
4. Section 4 (Bolded 5): \( 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 \)
5. Section 5 (Bolded 10): \( 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110 \)

\[
\boxed{\text{Traced paths as described above.}}
\]