If a number is divisible by both 4 and 6, what is the smallest such number?

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Question: If a number is divisible by both 4 and 6, what is the smallest such number?

Options:

Correct Answer: 12

Solution:

The smallest number divisible by both 4 and 6 is their LCM, which is 12.

If a number is divisible by both 4 and 6, what is the smallest such number?

If a number is divisible by both 4 and 6, what is the smallest such number?

Step 1: Understand what it means for a number to be divisible by another number. A number is divisible by another if you can divide them without leaving a remainder.
Step 2: Identify the two numbers we are interested in: 4 and 6.
Step 3: Find the multiples of 4. They are: 4, 8, 12, 16, 20, ...
Step 4: Find the multiples of 6. They are: 6, 12, 18, 24, ...
Step 5: Look for the smallest number that appears in both lists of multiples. The multiples of 4 are 4, 8, 12, ... and the multiples of 6 are 6, 12, ...
Step 6: The smallest number that is in both lists is 12.
Step 7: Therefore, the smallest number that is divisible by both 4 and 6 is 12.

Divisibility – Understanding the conditions under which a number can be divided by another without leaving a remainder.
Least Common Multiple (LCM) – The smallest multiple that is exactly divisible by two or more numbers.