This document discusses divisibility rules and tests for numbers 3, 4, and 9. It provides examples to show how to use the rules to determine if a number is divisible by 3, 4, or 9 based on summing the digits or looking at the last two digits. The divisibility rule for 3 states a number is divisible by 3 if the sum of its digits is divisible by 3. The rule for 4 states a number is divisible by 4 if the last two digits are divisible by 4. And the rule for 9 states a number is divisible by 9 if the sum of its digits is divisible by 9. Examples are provided to demonstrate applying each rule to determine divisibility.

1. Divisibility Test
and
Divisibility Rules

2. Divisibility Rules: State the
divisibility test
Rules to help you determine if numbers
are divisible by other numbers.
Divisible – if a number can be divided by
another number with no remainder,
decimal, or fraction.
We will learn rules for 3, 4 and 9.

3. Divisibility Rule for 3
 A number is divisible by 3 if…
 The sum of the digits in a number is divisible by 3.
 Examples
 1) 63
 Solution: 6 + 3 = 9
 9 is divisible by 3.
 63 is divisible by 3 .
 2) 97
 Solution: 9 + 7 =16
 16 is not divisible by 3
 97 is not divisible by 3.

4. 4
Divisibility Test for 3
Number Sum of digit in number Is the sum divisible
by 3
Is the given
number is
divisible by 3
63 6+3=9
✔️ ✔️
872 8+7+2=17

5. Divisibility Rule for 4
 A number is divisible by 4 if…
 The last 2 digits of the number is divisible by 4.


6. 6
Divisibility test for 4
Number The number formed by
the digits in the tens
and units place.
Divide the number
by 4 is it completely
divisible.
Is the given
number is
divisible by 4
992 92
✔️ ✔️
7314 14

7. Divisibility Rule for 9
 A number is divisible by 9 if…
 The sum of the digits of the number is divisible by 9.
 Examples
 495
 4 + 9 + 5 = 18
 18 / 9 = 2
 9,99,918
 9 + 9 + 9 + 9 + 1 + 8 = 45
 45 / 9 = 5

8. 8
Divisibility test for 9
Number Sum of digit in number Is the sum divisible
by 9
Is the given
number is
divisible by 9
495 4+9+5=18
✔️ ✔️
9,99,918 9+9+9+9+1+8=45
✔️ ✔️

9. Recaptulation
Divisibility Rules
A number is divisible by:
3 if the sum of the digits is divisible by 3.
4 if the last 2 digits of the number are ÷ by 4.
9 if the sum of the digits is divisible by 9.

10. Evaluation
72
 Is divisible by ?

11. 111
Is divisible by which
number?
Evaluation

12. Homework
Which of the number is divisible by 2, 5, 4,
3 and 10 identify?
1) 508
2) 720
3) 520
4) 68
5)10

13. Date :-02/01/24 Subject:Maths Class
:-6th
Topic :-Divisibility test and rules
Teacher activity :-
Divisibility test for 3
Divisibility test for 4
Divisibility test for 9
Students activity:-
Student observes
and listening
carefully
Student solves
questions in their
note book .

14. Thankyou