To check if 728 is divisible by 6, we need to check two conditions:

1. Divisibility by 2: A number is divisible by 2 if its last digit is even.

   • The last digit of 728 is 8, which is even, so 728 is divisible by 2.

2. Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

   • The sum of the digits of 728 is $7 + 2 + 8 = 17$.
   • Since 17 is not divisible by 3, 728 is not divisible by 3.

Since 728 is divisible by 2 but not by 3, it is not divisible by 6.

Would you like any further clarification on this?

Here are 5 related questions:

1. How do you check divisibility by 4?
2. What is the divisibility rule for 9?
3. Is 728 divisible by 8?
4. How can you check if a number is divisible by 12?
5. How do divisibility rules apply to larger numbers?

Tip: Always remember that a number divisible by 6 must satisfy both divisibility rules for 2 and 3!