Question

Which of these numbers is divisible by 6?

• A. 5782
• B. 2666
• C. 6053
• D. 8964

Answer 1

The correct option is D

8964

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

A number is divisible by 2 if the digit in ones place is 0, 2, 4, 6 or 8.

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

Consider 5782

5782 is divisible by 2 since the digit in ones place is 2.

Sum of 5 + 7 + 8 + 2 = 22 which is not divisible by 3.

Consider 2666

2666 is divisible by 2 since the digit in ones place is 2.

Sum of 2 + 6 + 6 + 6 = 20, which is not divisible by 3.

Consider 6053

6053 is not divisible by 2 since the digit in ones place is 3.

6 + 0 + 6 + 3 = 15, which is divisible by 3.

Consider 8964

8964 is divisible by 2 since the digit in ones place is 4.

8 + 9 + 6 + 4 = 27, which is divisible by 3.

Hence, 8964 is the only number from the given options which is divisible by both 2 and 3.