If 6 is not a factor of d, 12d divisible by 6?

Answer

To determine if \( 12d \) is divisible by \( 6 \) given that \( 6 \) is not a factor of \( d \), we can follow these steps:

### Step 1: Understand the expression
We have the expression \( 12d \) and we need to check if it is divisible by \( 6 \).

### Step 2: Factor the expression
We can rewrite \( 12d \) as:
\[ 12d = (2 \times 6) d \]

### Step 3: Simplify the expression
Now, we can express \( 12d \) in terms of \( 6 \):
\[ 12d = 6(2d) \]

### Step 4: Check divisibility
From the expression \( 12d = 6(2d) \), we can see that \( 12d \) is \( 6 \) multiplied by \( 2d \). For any integer \( d \), \( 2d \) is also an integer.

### Step 5: Conclusion
Since \( 12d \) can be expressed as \( 6 \) times another integer \( (2d) \), it follows that \( 12d \) is divisible by \( 6 \).

Thus, the answer is **Yes**, \( 12d \) is divisible by \( 6 \) even if \( 6 \) is not a factor of \( d \).

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