If a number is divisible by both 3 and 5, which of the following must also be true?
Practice Questions
1 question
Q1
If a number is divisible by both 3 and 5, which of the following must also be true?
It is divisible by 15
It is divisible by 8
It is divisible by 10
It is not divisible by 6
A number divisible by both 3 and 5 is also divisible by their LCM, which is 15.
Questions & Step-by-step Solutions
1 item
Q
Q: If a number is divisible by both 3 and 5, which of the following must also be true?
Solution: A number divisible by both 3 and 5 is also divisible by their LCM, which is 15.
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 them without leaving a remainder.
Step 2: Identify the numbers in the question: 3 and 5.
Step 3: Find the least common multiple (LCM) of 3 and 5. The LCM is the smallest number that both 3 and 5 can divide into without a remainder.
Step 4: Calculate the LCM of 3 and 5. Since 3 and 5 have no common factors other than 1, their LCM is 3 multiplied by 5, which equals 15.
Step 5: Conclude that if a number is divisible by both 3 and 5, it must also be divisible by 15, since 15 is the LCM of 3 and 5.
