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If a number is divisible by 8, which of the following must also be true?

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Question: If a number is divisible by 8, which of the following must also be true?

Options:

  1. It is divisible by 2
  2. It is divisible by 4
  3. It is a multiple of 16
  4. It is a prime number

Correct Answer: It is divisible by 4

Solution:

Any number divisible by 8 is also divisible by 4, as 8 is a multiple of 4.

If a number is divisible by 8, which of the following must also be true?

Practice Questions

Q1
If a number is divisible by 8, which of the following must also be true?
  1. It is divisible by 2
  2. It is divisible by 4
  3. It is a multiple of 16
  4. It is a prime number

Questions & Step-by-Step Solutions

If a number is divisible by 8, which of the following must also be true?
  • Step 1: Understand what it means for a number to be divisible by 8. A number is divisible by 8 if you can divide it by 8 without leaving a remainder.
  • Step 2: Recognize that 8 can be broken down into smaller factors. The number 8 is equal to 4 times 2 (8 = 4 * 2).
  • Step 3: Since 8 is made up of 4, any number that can be divided by 8 can also be divided by 4. This is because if you can divide by a larger number (8), you can also divide by one of its smaller factors (4).
  • Step 4: Therefore, if a number is divisible by 8, it must also be divisible by 4.
  • Divisibility Rules – Understanding the rules of divisibility, particularly how multiples relate to each other.
  • Multiples and Factors – Recognizing that if a number is a multiple of another, it is also a multiple of its factors.
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