Discussion
Which of the following numbers is divisible by 24?
Answer: C
For a number to be divisible by 24, it must be divisible by its co-prime factors, 3 and 8. Let's check the options.
A) 35718: Sum of digits is 24 (divisible by 3). Last 3 digits 718. \(718 \div 8\) is not an integer. Not divisible by 8.
B) 63810: Sum is 18 (divisible by 3). Last 3 digits 810. \(810 \div 8\) is not an integer. Not divisible by 8.
C) 53784: Sum is 27 (divisible by 3). Last 3 digits 784. \(784 \div 8 = 98\). Divisible by 8. Since it is divisible by both 3 and 8, it is divisible by 24.
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