How to Recognize Multiples of 6 Using Divisibility Rules – A Guide on Identifying Numbers Divisible by 2 and 3

How to recognize a multiple of 6

Sum of digits is a multiple of 3 and the last digit is even.

To recognize a multiple of 6, you need to remember that 6 is a multiple of 2 and 3. Therefore, any number that is divisible by 2 and 3 is a multiple of 6.

To check if a number is divisible by 2, you just need to check if the last digit is even (0, 2, 4, 6, or 8).

To check if a number is divisible by 3, you need to add up all of the digits in the number. If the sum is also divisible by 3, then the original number is divisible by 3.

So, to recognize a multiple of 6, you should check if the number is divisible by both 2 and 3. In other words, it should be even and the sum of its digits should be divisible by 3.

For example, let’s check if 48 is a multiple of 6.

– Is 48 even? Yes, because it ends in 8, which is even.
– What is the sum of the digits of 48? 4 + 8 = 12
– Is 12 divisible by 3? Yes, because 1 + 2 = 3, and 3 is divisible by 3.

Therefore, 48 is a multiple of 6.

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