## Elementary Math (K-6th) Tutorial

*RULES FOR DIVISIBILTY*

#### Intro

The rules for divisibility helps to easily determines when a number divides another number exactly without any remainder.

#### Sample Problem

The rules for the divisors of whole numbers is given below :

Any whole number is exactly divisible by

(1.) 2 if the last digit is even or 0 .

(2.) 3 if the sum of its digit is divisible by 3 .

(3.) 4 if the last two digit form a number divisible by 4 .

(4.) 5 if the last digit is 5 or 0.

(5.) 6 if the last digit is even and the sum of the digits is divisible by 3

(6.) 8 if the last three digits form a number divisible by 8 .

(7.) 9 if the sum of its digit is divisible by 9

(8.) 10 if the last digit is 0.

NOTE :There is no easy rule for division by 7

#### Solution

EXAMPLE : Test this numbers to which are exactly divisible by 9

(a) 51060 (b) 9039 (c ) 48681

SOLUTION

(a) 51060 = 5 + 1 + 0 + 6 + 0 = 18

18 is divisible by 9 .Thus , 51060 is divisible by 9

(b) 9039 = 9 + 0 + 3 + 9 =21

21 is not divisible by 9 . Thus 9039 is not divisible by 9

(c) 48681 = 4 + 8 + 6 + 8 + 1 = 27

27 is divisible by 9 . Thus 48681 is divisible by 9

# About The Author

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