If a number is a multiple of 8, which of the following must also be true?
Practice Questions
Q1
If a number is a multiple of 8, which of the following must also be true?
It is a multiple of 4.
It is a multiple of 2.
It is an even number.
All of the above.
Questions & Step-by-Step Solutions
If a number is a multiple of 8, which of the following must also be true?
Step 1: Understand what a multiple of 8 is. A multiple of 8 is any number that can be divided by 8 without leaving a remainder. For example, 8, 16, 24, etc.
Step 2: Recognize that if a number is a multiple of 8, it can be expressed as 8 times some whole number (like 8 x 1 = 8, 8 x 2 = 16, etc.).
Step 3: Check if multiples of 8 are also multiples of 4. Since 8 is 4 times 2, any multiple of 8 (like 8, 16, 24) is also a multiple of 4.
Step 4: Check if multiples of 8 are also multiples of 2. Since 8 is 2 times 4, any multiple of 8 is also a multiple of 2.
Step 5: Check if multiples of 8 are even. All multiples of 8 are even numbers because they can be divided by 2 without a remainder.
Multiples and Divisibility – Understanding that if a number is a multiple of a larger number, it is also a multiple of all its factors.
Even Numbers – Recognizing that multiples of 2 are even numbers, and thus multiples of 8 (which is a multiple of 2) are also even.