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Which of the following numbers is divisible by 12?Group of answer choices23401012376200 PreviousNext

Question

Which of the following numbers is divisible by 12?

Group of answer choices

  • 2340
  • 1012
  • 376
  • 200
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Solution

To determine if a number is divisible by 12, it must be divisible by both 4 and 3 (since 12 is a product of 4 and 3).

Step 1: Check if the number is divisible by 4. A number is divisible by 4 if the number formed by the last two digits is divisible by 4.

Step 2: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3.

Let's apply these steps to the given numbers:

  1. 2340: The last two digits, 40, are divisible by 4. The sum of the digits is 2+3+4+0=9, which is divisible by 3. So, 2340 is divisible by 12.

  2. 1012: The last two digits, 12, are divisible by 4. The sum of the digits is 1+0+1+2=4, which is not divisible by 3. So, 1012 is not divisible by 12.

  3. 376: The last two digits, 76, are not divisible by 4. So, 376 is not divisible by 12.

  4. 200: The last two digits, 00, are divisible by 4. The sum of the digits is 2+0+0=2, which is not divisible by 3. So, 200 is not divisible by 12.

Therefore, out of the given numbers, only 2340 is divisible by 12.

This problem has been solved

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