Divisibility Test: Is 681 Divisible by 6?

Question

Determine if the following number is divisible by 6:

681 681

Video Solution

Solution Steps

00:00 Determine if the number is divisible by 6
00:04 Based on the ones digit, we know that the number is not divisible by 2
00:08 If the number is not divisible by 2, it is not divisible by 6
00:11 And this is the solution to the question

Step-by-Step Solution

To determine if 681 is divisible by 6, we need to apply the divisibility rules for both 2 and 3:

  • Divisibility by 2: A number is divisible by 2 if its last digit is even. The last digit of 681 is 1, which is odd. Therefore, 681 is not divisible by 2.
  • Divisibility by 3: A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 681 is 6+8+1=15 6 + 8 + 1 = 15 . Since 15 is divisible by 3, 681 meets this condition.

Since 681 is not divisible by 2, even though it is divisible by 3, we conclude that 681 is not divisible by 6.

Therefore, the solution to the problem is No.

Answer

No