If a number is a multiple of 15, which of the following cannot be true?
Practice Questions
Q1
If a number is a multiple of 15, which of the following cannot be true?
It is a multiple of 3.
It is a multiple of 5.
It is an even number.
It is a multiple of 30.
Questions & Step-by-Step Solutions
If a number is a multiple of 15, which of the following cannot be true?
Step 1: Understand what a multiple of 15 means. A multiple of 15 is any number that can be obtained by multiplying 15 by an integer (like 15, 30, 45, etc.).
Step 2: Identify the properties of multiples of 15. Since 15 is an odd number, any multiple of 15 can also be odd.
Step 3: Consider the possibility of a multiple of 15 being even. A number is even if it can be divided by 2 without a remainder. Since 15 is odd, its multiples (like 15, 45, etc.) are also odd and cannot be even.
Step 4: Conclude that a multiple of 15 cannot be guaranteed to be even because the base number (15) is odd.
Multiples of Numbers – Understanding that a multiple of a number is the product of that number and an integer.
Odd and Even Numbers – Recognizing that multiples of odd numbers can also be odd.
