If a number is divisible by 9, which of the following must also be true?

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Question: If a number is divisible by 9, which of the following must also be true?

Options:

Correct Answer: It is divisible by 3

Solution:

Any number divisible by 9 is also divisible by 3.

If a number is divisible by 9, which of the following must also be true?

If a number is divisible by 9, which of the following must also be true?

Step 1: Understand what it means for a number to be divisible by 9. A number is divisible by 9 if you can divide it by 9 without leaving a remainder.
Step 2: Know the rule for divisibility by 3. A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 3: Recognize that if a number is divisible by 9, it can be expressed as 9 times some whole number (e.g., 9, 18, 27, etc.).
Step 4: Since 9 can be broken down into 3 times 3 (9 = 3 x 3), any multiple of 9 is also a multiple of 3.
Step 5: Therefore, if a number is divisible by 9, it must also be divisible by 3.

Divisibility Rules – Understanding the rules of divisibility, particularly that if a number is divisible by 9, it is also divisible by 3.