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

Practice Questions

Q1
If a number is divisible by 8, which of the following must be true?
  1. It is divisible by 2
  2. It is divisible by 3
  3. It is divisible by 5
  4. It is divisible by 10

Questions & Step-by-Step Solutions

If a number is divisible by 8, which of the following must be true?
  • Step 1: Understand what it means for a number to be divisible by 8. This means that when you divide the number by 8, there is no remainder.
  • Step 2: Recognize that 8 can be broken down into its prime factors. The prime factorization of 8 is 2 x 2 x 2 (or 2^3).
  • Step 3: Since 8 is made up of the number 2 multiplied by itself three times, any number that is divisible by 8 must also be divisible by 2.
  • Step 4: Therefore, if a number is divisible by 8, it must also be true that it is divisible by 2.
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