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 choices23401012376200 PreviousNext
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:
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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.
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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.
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376: The last two digits, 76, are not divisible by 4. So, 376 is not divisible by 12.
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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.
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