Free printable multiplication practice sheet for mastering basic multiplication facts.

The image you uploaded is a math worksheet focused on multiplication with the numbers 1, 2, 3, 4, 5, and 6. The task involves solving each multiplication problem in the grid.

Explanation of the Solution:

Each row and column in the grid contains multiplication problems where one factor is fixed (the number at the top of the column or left of the row), and the other factor varies. The goal is to compute the product for each pair of factors.

#### General Formula for Multiplication:
For any two numbers \( a \) and \( b \):
\[
a \times b = \text{product}
\]

#### Step-by-Step Solution:
Let's solve a few examples from the worksheet to illustrate the process:

1. First Row (Factor = 1):
- \( 1 \times 1 = 1 \)
- \( 1 \times 2 = 2 \)
- \( 1 \times 3 = 3 \)
- \( 1 \times 4 = 4 \)
- \( 1 \times 5 = 5 \)
- \( 1 \times 6 = 6 \)

2. Second Row (Factor = 2):
- \( 2 \times 1 = 2 \)
- \( 2 \times 2 = 4 \)
- \( 2 \times 3 = 6 \)
- \( 2 \times 4 = 8 \)
- \( 2 \times 5 = 10 \)
- \( 2 \times 6 = 12 \)

3. Third Row (Factor = 3):
- \( 3 \times 1 = 3 \)
- \( 3 \times 2 = 6 \)
- \( 3 \times 3 = 9 \)
- \( 3 \times 4 = 12 \)
- \( 3 \times 5 = 15 \)
- \( 3 \times 6 = 18 \)

4. Fourth Row (Factor = 4):
- \( 4 \times 1 = 4 \)
- \( 4 \times 2 = 8 \)
- \( 4 \times 3 = 12 \)
- \( 4 \times 4 = 16 \)
- \( 4 \times 5 = 20 \)
- \( 4 \times 6 = 24 \)

5. Fifth Row (Factor = 5):
- \( 5 \times 1 = 5 \)
- \( 5 \times 2 = 10 \)
- \( 5 \times 3 = 15 \)
- \( 5 \times 4 = 20 \)
- \( 5 \times 5 = 25 \)
- \( 5 \times 6 = 30 \)

6. Sixth Row (Factor = 6):
- \( 6 \times 1 = 6 \)
- \( 6 \times 2 = 12 \)
- \( 6 \times 3 = 18 \)
- \( 6 \times 4 = 24 \)
- \( 6 \times 5 = 30 \)
- \( 6 \times 6 = 36 \)

Final Answer:

The completed worksheet will have the following products filled in:

| | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 |

Thus, the final answer is:
\[
\boxed{
\begin{array}{c|cccccc}
& 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
1 & 1 & 2 & 3 & 4 & 5 & 6 \\
2 & 2 & 4 & 6 & 8 & 10 & 12 \\
3 & 3 & 6 & 9 & 12 & 15 & 18 \\
4 & 4 & 8 & 12 & 16 & 20 & 24 \\
5 & 5 & 10 & 15 & 20 & 25 & 30 \\
6 & 6 & 12 & 18 & 24 & 30 & 36 \\
\end{array}
}
\]