Divisibility Test: Is 484 Divisible by 6?

To determine if the number 484 is divisible by 6, we must confirm that it satisfies both divisibility rules for 2 and 3:

• Divisibility by 2: A number is divisible by 2 if its last digit is even. The last digit of 484 is 4, which is even. Thus, 484 is divisible by 2.
• Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. For 484, the sum of the digits is $4 + 8 + 4 = 16$. To check divisibility by 3, we evaluate whether 16 is divisible by 3, which it is not.

Since 484 is not divisible by 3, even though it is divisible by 2, it cannot be divisible by 6. Therefore, 484 is not divisible by 6.

In conclusion, the answer to the problem is: No.