How To Recognize A Multiple Of 6: A Step-By-Step Guide With Examples

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 should use the following method:

Step 1: Take the last digit of the number, if it is an even number (0, 2, 4, 6, or 8) then the number is divisible by 2. Otherwise, it is not a multiple of 6.

Step 2: Add all the digits in the number. If the sum is divisible by 3, then the number is divisible by 3. If the sum is not divisible by 3, then the number is not a multiple of 6.

Step 3: If the number is divisible by both 2 and 3 (as determined in steps 1 and 2), then the number is a multiple of 6.

For example, let’s take the number 468.

Step 1: The last digit of the number is 8, which is an even number. Therefore, the number is divisible by 2.

Step 2: Adding all the digits in the number, we get 4 + 6 + 8 = 18. Since 18 is divisible by 3 (6 x 3 = 18), the number is also divisible by 3.

Step 3: Since the number is divisible by both 2 and 3, it is a multiple of 6.

Therefore, 468 is a multiple of 6.

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