How to Recognize if a Number is a Multiple of 12: Step-by-Step Guide with Examples

How to recognize if a # is a multiple of 12

The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3, and 44 is a multiple of 4, so 144 is a multiple of 12.)

To recognize if a given number is a multiple of 12, we need to see whether it satisfies the divisibility test for 12. The divisibility test for 12 states that a number is divisible by 12 if it is both divisible by 3 and divisible by 4.

Here are some steps to recognize if a given number is a multiple of 12:
1. Check if the number is even. If the number is odd, it cannot be a multiple of 12.
2. Find the sum of the digits of the number. If the sum of digits is not divisible by 3, then the number is not divisible by 3, and hence, cannot be a multiple of 12.
3. Check if the last two digits of the number are divisible by 4. If the last two digits of the number are not divisible by 4, then the number is not divisible by 4, and hence, cannot be a multiple of 12.

For example, let’s consider the number 144.
1. The number is even, so it could be a multiple of 12.
2. The sum of digits (1+4+4) is equal to 9, which is not divisible by 3. Therefore, the number is not divisible by 3, and cannot be a multiple of 12.
3. The last two digits of the number (44) are divisible by 4. Therefore, the number is divisible by 4, and could be a multiple of 12.

Since the number is divisible by 4 but not by 3, it is not a multiple of 12.

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