a free resource pack from educationcity factors€¦ · 1 2 7 14 1 2 4 11 22 44. water raider....

A FREE RESOURCE PACK FROM EDUCATIONCITY

Factors

Free school resources by EducationCity®. This may be reproduced for class use.

Age 7-11

Mathematics School Worksheets Suitability

Factors WorksheetsWhat Does This Pack Include? This pack has been created by teachers, for teachers. In it, you’ll find high quality Activity Sheets, along with their answer sheets to support your students to develop their understanding of factors.

To go directly to the content, simply click on the title in the index below:

FACTOR FACTORY

Learning Objective:Number – Multiplication and DivisionIdentify multiples and factors, including all factor pairs of a number, and common factors of two numbers.

• Activity Sheet• Activity Sheet with Answers

FACTOR OR FICTION



WATER RAIDER

Learning Objective:Number – Multiplication and DivisionRecognise and use factor pairs and commutativity in mental calculations.


NUMBER CRUNCHER

Learning Objective:Number – Multiplication and DivisionSolve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes.


KEEP IT SIMPLE

Learning Objective:Fractions (including decimals and percentages)Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.


UNDER PRESSURE

Learning Objective:Addition, Subtraction, Multiplication and DivisionIdentify common factors, common multiples and prime numbers.


FACTOR PAIRS


• ThinkIt Question• ThinkIt Answer

Other Resources Linking to the Theme

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Activities:Educational Content

ThinkIts:Inspire Creative Ways of Thinking

Number Cruncher Content ID: 34323

Factor Pairs Content ID: 14180

ITask your students to solve multiplication and division problems involving factors, multiples, squares and cubes.

Get your students to find the factor pairs of 42 and 108.

Factor Factory

Now pick some numbers of your own and find the factor pairs. Can you find a number with more than 10 factor pairs?

Complete the factor pairs for each number.

183 x 1 x 9 x

2 x 18 x 6 x

122 x 4 x

12 x

3 x 6 x 1 x

357 x 1 x

35 x 5 x 21

21 x 3 x

8181 x 27 x

49

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

Factor Factory

Now pick some numbers of your own and find the factor pairs. Can you find a number with more than 10 factor pairs?

Complete the factor pairs for each number.

183 x 1 x 9 x

2 x 18 x 6 x

122 x 4 x

12 x

3 x 6 x 1 x

357 x 1 x

35 x 5 x 21

21 x 3 x

8181 x 27 x

49

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

x x x

6182

913

631

4212

535

17

1 7

1 3 7 491

749

21 31 7

199273

811

Factor or Fiction

Sort the numbers, by adding them into the correct places on the Venn diagram.

What are the factors of 20 and 24?

1, 2, 3, 4, 5, 6, 8, 10, 12, 24Factors of 20

Factors of both

Factors of 24


1, 2, 3, 4, 6, 7, 12, 14, 28Factors of 12

Factors of both

Factors of 28


1, 3, 5, 9, 15, 45Factors of 15

Factors of both

Factors of 45


1, 2, 3, 4, 6, 8, 12, 16, 24, 32Factors of 24

Factors of both

Factors of 32


1, 2, 4, 5 , 8, 10, 16, 20, 40Factors of 16

Factors of both

Factors of 40

Factor or Fiction

Complete the sentences.

The common factors of 20 and 25 are 1 and



The common factors of 15 and 30, from smallest to largest are

, , and


, , and


, , and


, , and, ,

Factor or Fiction

Sort the numbers, by adding them into the correct places on the Venn diagram.


1, 2, 3, 4, 5, 6, 8, 10, 12, 24Factors of 20

Factors of both

Factors of 24


1, 2, 3, 4, 6, 7, 12, 14, 28Factors of 12

Factors of both

Factors of 28


1, 3, 5, 9, 15, 45Factors of 15

Factors of both

Factors of 45


1, 2, 3, 4, 6, 8, 12, 16, 24, 32Factors of 24

Factors of both

Factors of 32


1, 2, 4, 5 , 8, 10, 16, 20, 40Factors of 16

Factors of both

Factors of 40

3 716 142

284

5 3110 6220 84

91453

5

3 1616 32212 4

16 51102204

1224

15 8

408

12

24

Factor or Fiction

Complete the sentences.





, , and


, , and


, , and


, , and, ,

5

2

3

15531

8421

14721

11421 22 44

Water Raider

Number Cruncher

Circle all the square and cube numbers.

Complete the following calculations.

25 35 54 64 81 121 135 144 162

8 46 64 125 175 216 277 512 1,000

I am a 2 digit square number. One of my factors is a cube number. The product of my digits is 8. What number am I?

I am a two-digit square number, greater than 20. The product of my two digits is 36. What number am I?

I am a three-digit cube number. Divide me by 5 to get a square number. What number am I?

I am a 3-digit cube number with a factor of 6. What number am I?

I am a 2-digit square number. If you multiply me by 4, you get a 2-digit cube number. What number am I?

I am a 2-digit square number. Multiply me by 8 to get a 3-digit cube number. What number am I?

I am a 2-digit square number, more than 50. I am also a multiple of a cube number. What number am I?

I am a 4-digit cube number. I am a product of 10 and a 3-digit square number. What number am I?

Number Cruncher

Circle all the square and cube numbers.

Complete the following calculations.

25 35 54 64 81 121 135 144 162

8 46 64 125 175 216 277 512 1,000

I am a 2 digit square number. One of my factors is a cube number. The product of my digits is 8. What number am I?

I am a two-digit square number, greater than 20. The product of my two digits is 36. What number am I?

I am a three-digit cube number. Divide me by 5 to get a square number. What number am I?

I am a 3-digit cube number with a factor of 6. What number am I?

I am a 2-digit square number. If you multiply me by 4, you get a 2-digit cube number. What number am I?

I am a 2-digit square number. Multiply me by 8 to get a 3-digit cube number. What number am I?

I am a 2-digit square number, more than 50. I am also a multiple of a cube number. What number am I?

I am a 4-digit cube number. I am a product of 10 and a 3-digit square number. What number am I?

81

49

125

216

16

64

64

1,000

Keep it Simple

Write each fraction in its simplest form.

6

14

24

32

18

48

25

60

10

45

3

15

18

20

5

30

32

48

45

50

Keep it Simple

Write each fraction in its simplest form.

6

14

24

32

18

48

25

60

10

45

3

15

18

20

5

30

32

48

45

50

37

34

38

512

29

15

910

16

23

910

Under Pressure

Find the lowest common multiple.

12 and 14 =

9 and 16 =

15 and 20 =

12 and 18 =

25 and 6 =

5 and 9 =

6 and 13 =

3 and 16 =

Under Pressure

Find the lowest common multiple.

12 and 14 =

9 and 16 =

15 and 20 =

12 and 18 =

25 and 6 =

5 and 9 =

6 and 13 =

3 and 16 =

84

144

60

36

150

45

78

48

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a free resource pack from educationcity factors€¦ · 1 2 7 14 1 2 4 11 22 44. water raider....

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