18 is divisible by both 2 and 3. It is also divisible by 2 × 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 24? If not, give an example to justify your answer.

Explanation

To determine if a number that is divisible by both 4 and 6 must also be divisible by 24, we can follow these steps:

### Step 1: Understand the divisibility of 4 and 6
- A number is divisible by 4 if it can be expressed as \(4n\) for some integer \(n\).
- A number is divisible by 6 if it can be expressed as \(6m\) for some integer \(m\).

### Step 2: Find the least common multiple (LCM) of 4 and 6
- To find the LCM of 4 and 6, we can list the multiples:
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