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Question
Charlie is thinking of a number that can divide both 24 and 8 evenly. What is the largest possible number that Charlie could be thinking of?
Charlie is thinking of a number that can divide both 24 and 8 evenly. What is the largest possible number that Charlie could be thinking of?
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Solution
The correct option is B 8
To solve this problem, first we have to break down both the numbers into prime factors.
The prime factorization of 8 is: 2 × 2 × 2
The prime factorization of 24 is: 2 × 2 × 2 × 3
Thus, the greatest common factor of 8 and 24 is 2 × 2 × 2 = 8
Hence, the largest possible number that can divide both 24 and 8 is 8.
The number Charlie is thinking of is 8.
To solve this problem, first we have to break down both the numbers into prime factors.
The prime factorization of 8 is: 2 × 2 × 2
The prime factorization of 24 is: 2 × 2 × 2 × 3
Thus, the greatest common factor of 8 and 24 is 2 × 2 × 2 = 8
Hence, the largest possible number that can divide both 24 and 8 is 8.
The number Charlie is thinking of is 8.
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