If a number is divisible by both 4 and 6, what is the smallest positive integer

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Question: If a number is divisible by both 4 and 6, what is the smallest positive integer that it can be?

Options:

Correct Answer: 12

Solution:

The smallest positive integer divisible by both 4 and 6 is 12.

If a number is divisible by both 4 and 6, what is the smallest positive integer that it can be?

If a number is divisible by both 4 and 6, what is the smallest positive integer that 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: 4 and 6.
Step 3: Find the least common multiple (LCM) of 4 and 6. The LCM is the smallest number that both 4 and 6 can divide into evenly.
Step 4: List the multiples of 4: 4, 8, 12, 16, 20, ...
Step 5: List the multiples of 6: 6, 12, 18, 24, ...
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 integer that is divisible by both 4 and 6 is 12.

Divisibility – Understanding the rules of divisibility for numbers, specifically how to find the least common multiple (LCM) of given integers.
Least Common Multiple (LCM) – The smallest positive integer that is divisible by two or more numbers.