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?
  1. It is a multiple of 4.
  2. It is a multiple of 2.
  3. It is an even number.
  4. 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.
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