Divisibility Rules

Subject: Mathematics

Divisibility Rules 

Grade 8

Farheen Anjum Baig

Divisibility by 2

If a number is even or a number whose last digit is an even number

 i.e. 2,4,6,8 including 0, it is always completely divisible by 2.            

Multiple Select

Which number is divisible by 2?

• 12

• 28

• 428

• 428314

Divisibility by 3

A number is divisible by 3 if the sum of its digits is divisible by 3

Multiple Select

Which number is divisible by 3?

• 123

• 125

• 126

• 365

Divisibility by 6

1. Numbers which are divisible by both 2 and 3 are divisible by 6

2.That is, if the last digit of the given number is even and the sum of its digits is a multiple of 3, then the given number is also a multiple of 6.

Open Ended

Is 720 divisible by 6?

Fill in the Blanks

In the number 3*257, replace the * by a number such that the number so formed is

divisible by 3.

Divisibility by 9

• If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.

• 784521

Open Ended

In the number 3*257, replace the * by a number such that the number so formed is divisible by 9.