If a number is both a multiple of 4 and a factor of 48, which of the following n

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Question: If a number is both a multiple of 4 and a factor of 48, which of the following numbers could it be?

Options:

Correct Answer: 8

Solution:

The multiples of 4 that are also factors of 48 are 4, 8, 12, and 16. Among the options, 8 is valid.

If a number is both a multiple of 4 and a factor of 48, which of the following numbers could it be?

If a number is both a multiple of 4 and a factor of 48, which of the following numbers could it be?

Step 1: Understand what a multiple of 4 is. A multiple of 4 is any number that can be divided by 4 without leaving a remainder. Examples include 4, 8, 12, 16, 20, etc.
Step 2: Understand what a factor of 48 is. A factor of 48 is any number that can divide 48 without leaving a remainder. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Step 3: List the multiples of 4 that are also factors of 48. From the multiples of 4 (4, 8, 12, 16, ...), check which of these numbers are also in the list of factors of 48.
Step 4: Identify the common numbers. The common numbers from both lists are 4, 8, 12, and 16.
Step 5: Check the options given in the question. Among the options provided, see which of them is one of the common numbers identified in Step 4.

Multiples and Factors – Understanding the relationship between multiples of a number and its factors.
Divisibility Rules – Applying rules to determine if a number is a multiple or a factor.
Set Intersection – Finding common elements between two sets (multiples of 4 and factors of 48).