Divisibility Test: Is 673 Divisible by 3?

Question

Determine if the following number is divisible by 3:

673 673

Video Solution

Step-by-Step Solution

To determine if 673 is divisible by 3, we must use the divisibility rule for 3, which states that a number is divisible by 3 if the sum of its digits is divisible by 3.

First, we'll calculate the sum of the digits: 6+7+36 + 7 + 3.

Calculating this, we get: 6+7+3=166 + 7 + 3 = 16.

Next, we check if 16 is divisible by 3. Dividing 16 by 3 gives a quotient of 5 and a remainder of 1.

Since 16 is not divisible by 3 (as it leaves a remainder), we conclude that 673 is not divisible by 3.

Thus, the correct answer is No.

Answer

No