If a number is both a factor of 24 and a multiple of 3, which of the following c

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Question: If a number is both a factor of 24 and a multiple of 3, which of the following could it be?

Options:

Correct Answer: 12

Solution:

12 is a factor of 24 and also a multiple of 3, as 12 = 3 * 4.

If a number is both a factor of 24 and a multiple of 3, which of the following could it be?

If a number is both a factor of 24 and a multiple of 3, which of the following could it be?

Step 1: Understand what a factor is. A factor of a number is a whole number that can be multiplied by another whole number to get that number. For example, 1, 2, 3, 4, 6, and 8 are factors of 24 because they can be multiplied by other whole numbers to equal 24.
Step 2: List the factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Step 3: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer. For example, multiples of 3 include 3, 6, 9, 12, 15, 18, etc.
Step 4: List the multiples of 3 that are also factors of 24. From the factors of 24 (1, 2, 3, 4, 6, 8, 12, 24), we check which of these are multiples of 3.
Step 5: Identify the common numbers. The numbers from the factors of 24 that are also multiples of 3 are 3, 6, 12, and 24.
Step 6: Choose one of the common numbers. We can choose 12 as it is both a factor of 24 and a multiple of 3.

Factors and Multiples – Understanding the definitions of factors (numbers that divide another number without a remainder) and multiples (numbers that can be obtained by multiplying a number by an integer).
Divisibility Rules – Applying rules to determine if a number is a multiple of another, particularly focusing on the number 3 in this case.
Set Intersection – Finding common elements between two sets: factors of 24 and multiples of 3.