Question: If a number is divisible by both 2 and 3, what is the smallest number it could be?
Options:
6
12
3
9
Correct Answer: 6
Solution:
The least common multiple of 2 and 3 is 6.
If a number is divisible by both 2 and 3, what is the smallest number it could b
Practice Questions
Q1
If a number is divisible by both 2 and 3, what is the smallest number it could be?
6
12
3
9
Questions & Step-by-Step Solutions
If a number is divisible by both 2 and 3, what is the smallest number it could be?
Correct Answer: 6
Step 1: Understand what it means for a number to be divisible by another number. A number is divisible by 2 if it can be divided by 2 without leaving a remainder. Similarly, a number is divisible by 3 if it can be divided by 3 without leaving a remainder.
Step 2: List the multiples of 2. The first few multiples of 2 are: 2, 4, 6, 8, 10, ...
Step 3: List the multiples of 3. The first few multiples of 3 are: 3, 6, 9, 12, ...
Step 4: Find the common multiples of both 2 and 3. The common multiples from the lists are: 6, 12, ...
Step 5: Identify the smallest common multiple. The smallest number that appears in both lists is 6.
Step 6: Conclude that the smallest number that is divisible by both 2 and 3 is 6.
Divisibility – Understanding the rules of divisibility for numbers, specifically for 2 and 3.
Least Common Multiple (LCM) – Calculating the least common multiple of two numbers to find the smallest number that is divisible by both.
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