Divisibility by 6

To know whether a number is divisible by 6, we need to apply both the rules for divisibility by 2 and 3.

That's not difficult because we know all even numbers are divisible by 2.

That means numbers which are divisible by 6 are all even numbers which are also divisible by 3.

Examples:
84 is even. The sum of 8 and 4 is 12, which is a multiple of 3. So 84 can be divided by 6.

98 is odd. Therefore, 98 cannot be divided by 6.

456 is even. The sum of 4, 5 and 6 is 15, which is a multiple of 3. So 456 can be divided by 6.

750 is even. The sum of 7 and 5 is 12, which is a multiple of 3. So 750 can be divided by 6.

685 is odd. Therefore, 685 cannot be divided by 6.

2356 is even. The sum of 2, 3, 5 and 6 is 16, which is not a multiple of 3.
So 2356 cannot be divided by 6.

4081 is odd. Therefore, 4081 cannot be divided by 6.

7892 is even. The sum of 7, 8, 9 and 2 is 26, which is not a multiple of 3.
So 7892 cannot be divided by 6.

5586 is even. The sum of 5, 5, 8 and 6 is 24, which is a multiple of 3.
So 5586 can be divided by 6.

7098 is even. The sum of 7, 9 and 8 is 24, which is a multiple of 3.
So 7098 can be divided by 6.