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

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

Options:

Correct Answer: It is divisible by 2

Solution:

A number divisible by 8 is also divisible by 2, as 8 is a multiple of 2.

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

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.

Divisibility Rules – Understanding the rules of divisibility, particularly how numbers relate to each other in terms of factors.
Multiples and Factors – Recognizing that if a number is divisible by a larger number, it is also divisible by its factors.