## DIVISIBILITY RULE FOR 7

Divisibility Rule for 7 :

In a number, if the difference between twice the digit in one's place and the number formed by other digits is either zero or a multiple of 7, then the number is divisible by 7.

## Divisibility Rule for 7 - Examples

Example 1 :

Check whether 91 is divisible by 7.

Solution :

In the given number 91, twice the digit in one's place is

=  2 ⋅ 1

=  2

The number formed by the digits except the digit in one's place is

=  9

The difference between twice the digit in one's place and the number formed by the other digits is

=  9 - 2

=  7

7 is divisible by 7.

So, the given number 91 is divisible by 7.

Example 2 :

Check whether 504 is divisible by 7.

Solution :

In the given number 504, twice the digit in one's place is

=  2 ⋅ 4

=  8

The number formed by the digits except the digit in one's place is

=  50

The difference between twice the digit in one's place and the number formed by the other digits is

=  50 - 8

=  42

42 is divisible by 7.

So, the given number 504 is divisible by 7.

Example 3 :

Check whether 783 is divisible by 7.

Solution :

In the given number 783, twice the digit in one's place is

=  2 ⋅ 3

=  6

The number formed by the digits except the digit in one's place is

=  78

The difference between twice the digit in one's place and the number formed by the other digits is

=  78 - 6

=  72

72 is not divisible by 7.

So, the given number 783 is not divisible by 7.

## Related Topics

Divisibility rule for 3

Divisibility rule for 4

Divisibility rule for 5

Divisibility rule for 6

Divisibility rule for 8

Divisibility rule for 9

Divisibility rule for 10

Divisibility rule for 11

Divisibility rule for 12

Divisibility rule for 15

Divisibility rule for 18

Divisibility rule for 25

After having gone through the stuff given above, we hope that the students would have understood, how to check whether a number is evenly divisible by 7 or not.

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