Fill in the blank with the correct number.The number ________ is divisible by 2, 3, 4, 6, and 10. A. 44 B. 180 C. 280 D. 385
Question
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 6, and 10.
A. 44
B. 180
C. 280
D. 385
Solution
The correct answer is B. 180.
Here's why:
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A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8. The last digit of 180 is 0, so it is divisible by 2.
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A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 180 is 1+8+0 = 9, which is divisible by 3, so 180 is divisible by 3.
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A number is divisible by 4 if the number formed by its last two digits is divisible by 4. The number formed by the last two digits of 180 is 80, which is divisible by 4, so 180
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