If a number is both a factor of 36 and a multiple of 4, which of the following c

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Question: If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?

Options:

Correct Answer: 12

Solution:

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Among these, 12 is a multiple of 4.

If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?

If a number is both a factor of 36 and a multiple of 4, which of the following could be that number?

Step 1: Identify the factors of 36. Factors are numbers that can divide 36 without leaving a remainder.
Step 2: List the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 3: Identify the multiples of 4. Multiples of 4 are numbers that can be expressed as 4 times an integer.
Step 4: List some multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
Step 5: Compare the factors of 36 with the multiples of 4 to find common numbers.
Step 6: From the factors of 36, check which ones are also multiples of 4. The common number is 12.
Step 7: Conclude that 12 is a number that is both a factor of 36 and a multiple of 4.

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 4 in this case.