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Divisibility by 6:
How do you know that a number is divisible by 6? Well, a number is divisible by 6 if it is both divisible by 2 and 3. In short, an even number that is divisible by 3.
Example 1:
The first thing that we need to do is to inspect the given number if it is divisible by 6 or not.
Since the given number is not an even number and besides, the sum of the digits is not a multiple of 3 as shown below
then the given number is not divisible by 6. There's a remainder of 1 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 2:
The first thing that we need to do is to inspect the given number if it is divisible by 6 or not.
Since the given number is not an even number but the sum of the digits is a multiple of 3 as shown below
then the given number is not divisible by 6. There's a remainder of 3 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 3:
The first thing that we need to do is to inspect the given number if it is divisible by 6 or not.
Although the given number is an even number but the sum of the digits is not a multiple of 3 as shown below
then the given number is not divisible by 6. There's a remainder of 4 in the division. The answer or a quotient must be a whole number itself. You should not have a fraction or a remainder in the final answer.
Example 4:
The first thing that we need to do is to inspect the given number if it is divisible by 6 or not.
Since the given number is an even number and the sum of the digits is a multiple of 3 as shown below
then the given number is divisible by 6. There's no remainder or a fraction in the division.
You should consider in studying the divisibility of a number because you will use these principles later when you will study higher Math subjects that involves the division of a number, simplifying fractions, and even factoring.
This method can also be used for negative integers as long as the given number is both divisible by 2 and 3. Again, there should be no remainder or a fraction in the division.