Which of the following is a necessary condition for a number to be a multiple of

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Question: Which of the following is a necessary condition for a number to be a multiple of 18?

Options:

Correct Answer: It must be a multiple of 9.

Solution:

Since 18 = 2 × 9, being a multiple of 9 is necessary for a number to be a multiple of 18.

Which of the following is a necessary condition for a number to be a multiple of 18?

Which of the following is a necessary condition for a number to be a multiple of 18?

Step 1: Understand what a multiple of a number is. A multiple of a number is the result of multiplying that number by an integer.
Step 2: Identify the number in question, which is 18.
Step 3: Factor 18 into its prime factors. 18 can be factored as 2 × 9.
Step 4: Recognize that for a number to be a multiple of 18, it must include all the factors of 18.
Step 5: Since 9 is a factor of 18, any number that is a multiple of 18 must also be a multiple of 9.
Step 6: Conclude that being a multiple of 9 is a necessary condition for a number to be a multiple of 18.

No concepts available.