Question

What smallest number should be added to 4456 so that the sum is completely divisible by 6?

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

The Correct Option is C

To determine the smallest number that should be added to 4456 to make the sum divisible by 6, we follow these steps:

1. A number is divisible by 6 if it is divisible by both 2 and 3.

2. Check divisibility by 2: The last digit of 4456 is 6, which is even. Therefore, 4456 is divisible by 2.

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

4. Calculate the sum of the digits of 4456: 4 + 4 + 5 + 6 = 19.

5. Since 19 is not divisible by 3, we find the smallest number that can be added to 19 to make it divisible by 3.

6. The closest number to 19 that is divisible by 3 is 21 (since 21 ÷ 3 = 7), and 21 - 19 = 2.

7. Therefore, the smallest number to be added to make 4456 divisible by 6 is 2.

The correct answer is 2.