No, not all even numbers are divisible by 6.
To be divisible by 6, a number must meet two conditions:
- It must be divisible by 2. This means it must be an even number.
- It must be divisible by 3. This means the sum of its digits must be divisible by 3.
For example, the number 8 is even, but it is not divisible by 3. Therefore, it is not divisible by 6.
Here are some examples:
- Divisible by 6: 12, 24, 36, 48, 60
- Even but not divisible by 6: 2, 4, 8, 10, 14
In summary: While all numbers divisible by 6 are even, not all even numbers are divisible by 6.
