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In a certain number, if the sum of its digits is a multiple of 3, what can be in

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Question: In a certain number, if the sum of its digits is a multiple of 3, what can be inferred about the number?

Options:

  1. It is a prime number.
  2. It is an even number.
  3. It is a multiple of 3.
  4. It is a perfect square.

Correct Answer: It is a multiple of 3.

Solution: 

A number is divisible by 3 if the sum of its digits is divisible by 3.

In a certain number, if the sum of its digits is a multiple of 3, what can be in

Practice Questions

Q1
In a certain number, if the sum of its digits is a multiple of 3, what can be inferred about the number?
  1. It is a prime number.
  2. It is an even number.
  3. It is a multiple of 3.
  4. It is a perfect square.

Questions & Step-by-Step Solutions

In a certain number, if the sum of its digits is a multiple of 3, what can be inferred about the number?
  • Step 1: Understand that every number is made up of digits (like 1, 2, 3, etc.).
  • Step 2: Add up all the digits of the number.
  • Step 3: Check if the total sum of the digits can be divided by 3 without leaving a remainder.
  • Step 4: If the sum can be divided by 3 evenly, then the original number is also divisible by 3.
  • Step 5: If the sum is not divisible by 3, then the original number is not divisible by 3.
  • Divisibility Rule for 3 – A number is divisible by 3 if the sum of its digits is divisible by 3.
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