Divisibility Test: Is 673 Divisible by 3?

Determine if the following number is divisible by 3:

673 673

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Step-by-step video solution

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00:00 Determine if the number is divisible by 3
00:03 A number is divisible by 3 only if the sum of its digits is divisible by 3
00:07 Let's sum its digits and divide by 3
00:15 The sum of digits is not divisible by 3, therefore the number is not divisible by 3
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Determine if the following number is divisible by 3:

673 673

2

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.

3

Final Answer

No

Practice Quiz

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Determine if the following number is divisible by 3:

\( 352 \)

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