Divisibility Rule for 2, 3, 5, 9 – Examples

Divisibility Rule for 2 :-

A number is divisible by 2, if the digit at one’s place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

For Example –

Question 1

Check whether 38452 is divisible by 2?

Solution –

A number is divisible by 2, if the digit at one’s place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 38452
2 is at one’s place
and 2 is divisible by 2
So, 38452 is also divisible by 2

Question 2

Check whether 95745 is divisible by 2?

Solution –

A number is divisible by 2, if the digit at one’s place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 95745
5 is at one’s place
and 5 is not divisible by 2
So, 95745 is not divisible by 2

 

Divisibility Rule for 3 :-

A number is divisible by 3,  if the sum of all the digits of the number is divisible by 3.

For Example –

Question 1

Check whether 35754 is divisible by 3?

Solution –

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.
In, 35754
Sum of its digits = 3 + 5 + 7 + 5 + 4 = 24
and 24 is divisible by 3
So, 35754 is also divisible by 3

Question 2

Check whether 64265 is divisible by 3 ?

Solution –

A number is divisible by 3, if the sum of all the digits of the number is divisible by 3.
In, 64265
Sum of its digits = 6 + 4 + 2 + 6 + 5 = 23
and 23 is not divisible by 3
So, 64265 is not divisible by 3

Divisibility Rule for 5 :-

A number is divisible by 5 if the digit at ones place is either  “0” or” 5″.

For Example –

Question 1

Check whether 53425 is divisible by 5?

Solution –

A number is divisible by 5 if the digit at ones place is either “0” or” 5″.
In, 53425
5 is the digit at one’s place.
So, 53425 is divisible by 5

Question 2

Check whether 64329 is divisible by 5?

Solution –

A number is divisible by 5 if the digit at ones place is either “0” or” 5″.
In, 64329
9 is the digit at one’s place.
So, 64329 is not divisible by 5

Divisibility Rule for 9 :-

A number is divisible by 9, if the sum of all the digits of the number is divisible by 9.

For Example –

Question 1

Check whether 85752 is divisible by 9?

Solution –

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.
In, 85752
Sum of its digits = 8 + 5 + 7 + 5 + 2 = 27
and 27 is divisible by 9
So, 85752 is also divisible by 9

Question 2

Check whether 64732 is divisible by 9?

Solution –

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.
In, 64732
Sum of its digits = 6 + 4 + 7 + 3 + 2 = 22
and 22 is not divisible by 9
So, 64732 is not divisible by 9

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