If a number is divisible by both 3 and 4, what is the smallest positive number i

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Question: If a number is divisible by both 3 and 4, what is the smallest positive number it can be?

Options:

Correct Answer: 12

Solution:

The smallest positive number divisible by both 3 and 4 is 12.

If a number is divisible by both 3 and 4, what is the smallest positive number it can be?

If a number is divisible by both 3 and 4, what is the smallest positive number it can be?

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 it by that number without leaving a remainder.
Step 2: Identify the two numbers we are interested in: 3 and 4.
Step 3: Find the least common multiple (LCM) of 3 and 4. The LCM is the smallest number that both 3 and 4 can divide into evenly.
Step 4: List the multiples of 3: 3, 6, 9, 12, 15, ...
Step 5: List the multiples of 4: 4, 8, 12, 16, ...
Step 6: Look for the smallest number that appears in both lists of multiples. The first common number is 12.
Step 7: Conclude that the smallest positive number that is divisible by both 3 and 4 is 12.

Divisibility – Understanding the rules of divisibility for numbers, specifically how to find the least common multiple (LCM) of given numbers.
Least Common Multiple (LCM) – The smallest number that is a multiple of two or more numbers, which in this case is found by calculating the LCM of 3 and 4.