Which number is a multiple of 6 and 8?
A. 2
B. 3
C. 24
D. 18
Answer (2)
Check each number to see if it is divisible by both 6 and 8.
2 is not divisible by 6 and 8.
3 is not divisible by 6 and 8.
24 is divisible by 6 ( 6 × 4 = 24 ) and 8 ( 8 × 3 = 24 ).
18 is divisible by 6 ( 6 × 3 = 18 ) but not by 8.
The number that is divisible by both 6 and 8 is 24 .
Explanation
Understanding the Problem We need to find a number from the options 2, 3, 24, and 18 that is a multiple of both 6 and 8. A multiple of a number is the result of multiplying that number by an integer.
Checking Each Option Let's check each option:
2: Is 2 a multiple of 6? No. Is 2 a multiple of 8? No.
3: Is 3 a multiple of 6? No. Is 3 a multiple of 8? No.
24: Is 24 a multiple of 6? Yes, because 6 × 4 = 24 . Is 24 a multiple of 8? Yes, because 8 × 3 = 24 .
18: Is 18 a multiple of 6? Yes, because 6 × 3 = 18 . Is 18 a multiple of 8? No.
Finding the Answer Since 24 is a multiple of both 6 and 8, it is the correct answer.
Final Answer Therefore, the number that is a multiple of both 6 and 8 is 24 .
Examples
Understanding multiples is useful in many real-life situations. For example, if you're planning a party and need to buy snacks, knowing multiples helps you figure out how many of each item to buy so that you have an equal amount for everyone. If you want to divide 24 cookies equally among 6 friends, you know each friend gets 4 cookies because 24 is a multiple of 6. Similarly, if you want to divide 24 cookies among 8 friends, each friend gets 3 cookies.
The number that is a multiple of both 6 and 8 is 24. This is verified since 24 can be expressed as 6 × 4 and 8 × 3 . None of the other options are multiples of both 6 and 8.
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