If a number is divisible by both 4 and 6, which of the following must also be tr
Practice Questions
Q1
If a number is divisible by both 4 and 6, which of the following must also be true? (2023)
It is divisible by 12.
It is divisible by 24.
It is divisible by 10.
It is not divisible by 2.
Questions & Step-by-Step Solutions
If a number is divisible by both 4 and 6, which of the following must also be true? (2023)
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 numbers we are working with: 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: Find the smallest number that appears in both lists. The smallest number is 12.
Step 7: Conclude that if a number is divisible by both 4 and 6, it must also be divisible by their LCM, which is 12.
Divisibility – Understanding the rules of divisibility for numbers, particularly how to determine if a number is divisible by multiple integers.
Least Common Multiple (LCM) – The concept of finding the least common multiple of two or more numbers, which is the smallest number that is a multiple of each of the numbers.
