Check whether the statement is true or not :
32 is a multiple of 8.

Answer

To determine whether the statement "32 is a multiple of 8" is true, we can follow these steps:

### Step 1: Understand the definition of a multiple
A number \( a \) is said to be a multiple of another number \( b \) if there exists an integer \( k \) such that \( a = b \times k \).

### Step 2: Identify the numbers involved
In this case, we have:
- \( a = 32 \)
- \( b = 8 \)

### Step 3: Find an integer \( k \)
We need to check if there exists an integer \( k \) such that:
\[ 32 = 8 \times k \]

### Step 4: Solve for \( k \)
To find \( k \), we can rearrange the equation:
\[ k = \frac{32}{8} \]

### Step 5: Calculate \( k \)
Now, we perform the division:
\[ k = \frac{32}{8} = 4 \]

### Step 6: Check if \( k \) is an integer
Since \( k = 4 \) is an integer, we conclude that there exists an integer \( k \) such that \( 32 = 8 \times k \).

### Conclusion
Since we found an integer \( k \) that satisfies the condition, we can say that:
**32 is a multiple of 8. Therefore, the statement is true.**

---