Divisibility Rule of 3


 
 
Concept Explanation
 

Divisibility Rule of 3:

Any natural number is divisible by 3 if the sum of its digits is also divisible by 3.

Justification:

Let us first consider case of a two digit number:

 n=overline{ab} be a two digit number. Then, n can be written as

         n = 10a + b, where b is units digit of n.

Rightarrow    n = 9a + a + b

Rightarrow    n = a multiple of 9 + ( a + b )

Since a multiple of 9 is also a multiple of 3, so

Rightarrow    n is a multiple of 9, if ( a + b ) is a multiple of 3

Thus, a two digit number is divisible by 3, if the sum of its digits is divisible by 3.

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

If a number is divisible by 9, then it is also divisible by ________ number.

Right Option : A
View Explanation
Explanation
Question : 2

If the numders 1x8 is divisible by 3, then x is equal to

Right Option : A
View Explanation
Explanation
Question : 3

Which of the following numbers are divisible by 3?

556501 , 425521 , 910765, 514518, 432771, 648720, 976430

Right Option : C
View Explanation
Explanation
Chapters
Content / Category
Class / Course
 
 


Students / Parents Reviews [10]