Divisibility rule

Mathematics

Rules for Divisibility

Divisibility by 2: A number is divisible by 2 when the digit at ones place is 0, 2, 4, 6 or 8. еg, 3582, 460, 28, 352.....

Divisibility by 3: A number is divisible by 3 when sum of all digits of a number is a multiple of 3.

eg, 453 4+5+3=12.

12 is divisible by 3 so, 453 is also divisible by 3.

Divisibility by 4: A number is divisible by 4, if the number formed with its last two digits is divisible by 4.

eg, if we take the number 45024, the last two digits form 24. Since, the number 24 is divisible by 4, the number 45024 is also divisible by 4

Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. eg: 10, 25, 60

Divisibility by 6: A number is divisible by 6, if it is divisible both by 2 and 3. eg. 48, 24, 108

Divisibility by 7: A number is divisible by 7 when the difference between twice the digit at ones place and the number formed by other digits is either zero or a multiple of 7.

eg. 658 65-2×8=65-16=49. As 49 is divisible by 7 the number 658 is also divisible by 7.

Divisibility by 8: A number is divisible by 8, if the number formed by the last 3 digits of the number is divisible by 8.

eg. if we take the number 57832, the last three digits form 832. Since, the number 832 is divisible by 8, the number 57832 is also divisible by 8.

Divisibility by 9: A number is divisible by 9, if the sum of all the digits of a number is a multiple of 9.eg, 684=6+8+4=18.18 is divisible by 9 so, 684 is also divisible 9.

Divisibility by 10: A number is divisible by 10, if its last digit is 0. eg. 20,180, 350,.....

Divisibility by 11: When the difference between the sum of its digits in odd places and in even places is either 0 or a multiple of 11.

eg, 30426

3+4+6=13

0+2=2

13-2=11

As the difference is a multiple of 11 the number 30426 is also divisible by 11.

Number and Problem Solving - Multiplication

Mathematics

1. Apples for Snack Time

Sarah wants to bring apples for snack time at school. She needs 3 apples for herself and 4 apples for her friends. How many apples does she need in total?

Answer: _______

 

2. Toy Cars

Tom has 5 toy cars. Each car has 4 wheels. How many wheels are there in total on Tom's toy cars?

Answer: _______

 

3. Cupcakes for a Party

There are 6 cupcakes on one plate, and there are 3 plates of cupcakes for a party. How many cupcakes are there in total?

Answer: _______

 

4. Books in a Library

A library has 8 shelves, and each shelf has 7 books on it. How many books are there in the library?

Answer: _______

 

5. Butterflies in the Garden

In a garden, there are 9 rows of flowers, and in each row, there are 6 butterflies. How many butterflies are there in the garden?

Answer: _______

 

6. Ice Cream Cones

There are 4 ice cream cones, and each cone has 3 scoops of ice cream. How many scoops of ice cream are there in total?

Answer: _______

 

7. Pizza Slices

At a birthday party, there are 5 pizzas, and each pizza is cut into 8 slices. How many pizza slices are there in total?

Answer: _______

 

8. Fish in an Aquarium

In an aquarium, there are 10 tanks, and in each tank, there are 2 fish. How many fish are there in the aquarium?

Answer: _______

 

9. Pencils for a Class

There are 4 boxes of pencils, and each box has 12 pencils. How many pencils are there in total?

Answer: _______

 

10. Stickers for Friends

Lily has 6 sheets of stickers, and each sheet has 5 stickers. How many stickers does Lily have in total to share with her friends?

Answer: _______

 

11. Party Balloons

For a birthday party, Mark wants to buy 3 packs of balloons, and each pack contains 10 balloons. How many balloons does he need for the party?

Answer: _______

 

Remember to check your answers carefully, All the best!

 

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