Question
Which number is not divisible by 12 ? 3816 7012 8760 1284
Ask by Elliott Pritchard. in the United States
Feb 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
7012 is not divisible by 12.
Solution
A number is divisible by 12 if it is divisible by both 3 and 4.
1. For 3816:
• Sum of digits = 3 + 8 + 1 + 6 = 18, which is divisible by 3.
• Last two digits = 16, which is divisible by 4.
Thus, 3816 is divisible by 12.
2. For 7012:
• Sum of digits = 7 + 0 + 1 + 2 = 10, which is not divisible by 3.
Since it fails the divisibility by 3, 7012 is not divisible by 12.
3. For 8760:
• Sum of digits = 8 + 7 + 6 + 0 = 21, which is divisible by 3.
• Last two digits = 60, which is divisible by 4.
Thus, 8760 is divisible by 12.
4. For 1284:
• Sum of digits = 1 + 2 + 8 + 4 = 15, which is divisible by 3.
• Last two digits = 84, which is divisible by 4.
Thus, 1284 is divisible by 12.
Out of the given numbers, 7012 is not divisible by 12.
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Simplify this solution Mind Expander
To determine which number is not divisible by 12, it's essential to remember that a number is divisible by 12 if it meets the criteria for both 3 and 4. The sum of the digits must be divisible by 3, and the last two digits must be divisible by 4. If we check each number quickly: - 3816 is divisible by 12. - 7012 is NOT divisible by 12 (as 12 is not a factor). - 8760 is divisible by 12. - 1284 is divisible by 12. So, 7012 is the number that is not divisible by 12!
