Divisibility Test: Is 132 Divisible by 3?

Determine if the following number is divisible by 3:

132 132

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Step-by-step video solution

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00:00 Determine if the number is divisible by 3
00:04 A number is divisible by 3 only if the sum of its digits is divisible by 3
00:09 Let's sum its digits and divide by 3
00:14 The sum of digits is divisible by 3, therefore the number is divisible by 3
00:18 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:

132 132

2

Step-by-step solution

To determine if the number 132 132 is divisible by 3 3 , we can apply the rule for divisibility by 3 3 , which involves summing the digits of the number.

Step-by-step solution:

  • Step 1: Sum the digits of the number 132 132 .
    1+3+2=6 1 + 3 + 2 = 6
  • Step 2: Check if the sum is divisible by 3 3 .
    6รท3=2 6 \div 3 = 2 , which is an integer.

Since the sum of the digits is 6 6 and 6 6 is divisible by 3 3 , the number 132 132 is also divisible by 3 3 .

Therefore, the number 132 132 is divisible by 3 3 , and the correct choice is:

Yes

3

Final Answer

Yes

Practice Quiz

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Determine if the following number is divisible by 3:

\( 352 \)

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