If a number is divisible by both 2 and 3, what is it also divisible by?
Practice Questions
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If a number is divisible by both 2 and 3, what is it also divisible by?
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A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Questions & Step-by-step Solutions
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Q
Q: If a number is divisible by both 2 and 3, what is it also divisible by?
Solution: A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Steps: 5
Step 1: Understand what it means for a number to be divisible by 2. A number is divisible by 2 if it can be divided by 2 without leaving a remainder. This means it is an even number.
Step 2: Understand what it means for a number to be divisible by 3. A number is divisible by 3 if the sum of its digits can be divided by 3 without leaving a remainder.
Step 3: If a number is divisible by both 2 and 3, it means it meets the criteria for both divisibility rules.
Step 4: Find the least common multiple (LCM) of 2 and 3. The LCM is the smallest number that both 2 and 3 can divide into without a remainder.
Step 5: The LCM of 2 and 3 is 6. This means any number that is divisible by both 2 and 3 is also divisible by 6.
