Special divisibility rule of 7

7 dividsibilty rule

step 1: divide the number pair wise from the right side

Step 2 : take the remainders with 7

step 3: take 1,2,4,8,16,32,........from right side

Step 4: multiply corresponding remainders with powers of two

step 5: find the sum of the products

step 6 : examine with 7 division

Illustration

N = 1234567

Step 1 : 1 / 23 / 45 / 67

Step 2 : 1 / 2 / 3 / 4

Step 3 : 8 / 4 / 2 / 1

Step 4 : 8 / 8 / 6 /4

Step 5 : 8 + 8 + 6 + 4 = 24

step 6: 24 is not divisible by 7there fore the given number is not divisble by 7