If sum of digits of number is divisible by 3,

Then number is divisible by 3

 

Example

 

Is 18 divisible by 3?

Sum of digits = 1 + 8 = 9

And 9 is divisible by 3

So, 18 is divisible by 3

 

Is 39 divisible by 3?

Sum of digits = 3 + 9 = 12

And 12 is divisible by 3

So, 39 is divisible by 3

 

Is 93 divisible by 3?

Sum of digits = 9 + 3 = 12

And 12 is divisible by 3

So, 93 is divisible by 3

 

Is 270 divisible by 3?

Sum of digits = 2 + 7  + 0 = 9

And 9 is divisible by 3

So, 270 is divisible by 3

 

Is 25 divisible by 3?

Sum of digits = 2 + 5 = 7

But 7 is not divisible by 3

So, 25 is not divisible by 3

 

Is 37 divisible by 3?

Sum of digits  = 3 + 7 = 10

But 10 not divisible by 3

So, 37 is not divisible by 3

 

Is 260 divisible by 3?

Sum of digits = 2 + 6 + 0 = 8

But 8 is not divisible by 3

So, 260 is not divisible by 3

  1. Chapter 16 Class 8 Playing with Numbers
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.