Divisibility by 3

Last updated at April 16, 2024 by

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo