# Divisibility Rules Part-2

### Divisibility Rules Part-2

Divisibility Rules From 7 to 11

## Divisibility Rule For 7 :

To find out if a number is divisible by 7, take the last digit, double it, and subtract it from the rest of the number. If you get an answer divisible by 7 (including zero), then the original number is divisible by 7. If you don’t know the new number’s divisibility, you can apply the rule again.

Ex: 1554

In the Above Example to Double the Last Digit of the Given Number  i.e. 8 and Subtract it from the rest. i.e. 155-8 = 147 which is divisible by 7.

## Divisibility Rule For 8 :

If the Last 3 digits of the Number are 000 or Divisible by 8 then the whole number will Divisible by 8.

Ex: 158000, 325676

In the above Example we find one number has last 3 digits of zeros (000) and in another number, the Last 3 digits are divisible by 8. Then Both of the above Numbers will Divisible by 8.

## Divisibility Rule For 9 :

The rule for 9 is as Same as rule for 3. Sum of the Digits of Given Number is Divisible by 9.

Ex: 21699

In the Above Example, the sum of all the digits is 2+1+6+9+9 = 27, which is divisible by 9. So, the Whole number will be divisible by 9.

## Divisibility Rule For 10 :

If a number is Divisible by 10 when the units Digit of the Number is ‘0’.

Ex: 15250, 28600

In the Above Example the last digit of the Given Number is 0 then the whole number is divisible by 10.

## Divisibility Rule For 11 :

The difference between the Alternative digits of the Given Number is ‘0’ or Multiple of 11. Then the Whole number will be divisible by 11. (Units Digit First)

Ex 1: 674531

In the Above Example, the difference between the Alternate digits is

1+5+7 = 13

3+4+6 = 13

I.e. 13 – 13 = 0

Then the whole number is divisible by 11.

Ex 2: 399949

Here the Difference Between the Alternative Digits is 9+9+9 = 27

9+9+9 = 27

4+9+3 = 16

i.e. 27 – 16 = 11 (Which is the Multiple of 11)

So, the Number Must be Divisible by 11.

By Using these Divisibility Rules we can find divisibility of any Given Number.

Thank You…!!!

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