If a number is divisible by both 2 and 3, which of the following must it also be divisible by?
Practice Questions
1 question
Q1
If a number is divisible by both 2 and 3, which of the following must it also be divisible by?
5
6
4
9
A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Questions & Step-by-step Solutions
1 item
Q
Q: If a number is divisible by both 2 and 3, which of the following must it also be divisible by?
Solution: A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.
Steps: 5
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 numbers in the question. We are looking at the numbers 2 and 3.
Step 3: Find the least common multiple (LCM) of 2 and 3. The LCM is the smallest number that both 2 and 3 can divide into evenly.
Step 4: Calculate the LCM of 2 and 3. The multiples of 2 are 2, 4, 6, 8, ... and the multiples of 3 are 3, 6, 9, ... The smallest number that appears in both lists is 6.
Step 5: Conclude that if a number is divisible by both 2 and 3, it must also be divisible by 6, which is their LCM.
