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