Factors and multiples with arrays

The Maths Habit

1

How many dots are there? Multiply.

3 × 6 = 182

Work out 7 × 4. Split the rows into facts you know.

5220 + 8 = 283

Work out 24 ÷ 6. Ring groups of 6.

24 ÷ 6 = 4

You have 12 chairs. You set them out in equal rows. How many different ways can you do it?

1 row of 12
2 rows of 6
3 rows of 4

Three: 1 row of 12, 2 rows of 6, 3 rows of 4. Turned round, three more.

Factor
A whole number that divides into another with none left over.
Factor pair
Two factors that multiply to make the number.
Multiple
A number in a times table.

1 row1 and 122 rows2 and 63 rows3 and 44 rows4 and 3
  1. Try 1 row, 2 rows, 3 rows and so on.
  2. None left over: that is a factor pair.12: 1 and 12, 2 and 6, 3 and 4.
  3. Stop when the pairs repeat.4 rows of 3 is 3 rows of 4 turned round.

Try 3 rows. Is anything left over? Is 3 a factor of 14?

3 rowsno Yes: 3 is not a factor

Try 2 rows. Is anything left over? Is 2 a factor of 14?

2 rows2 and 7 No: 2 and 7

Find the factors of 16. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8, 16

1 row2 rows3 rows4 rows1 and 162 and 8no4 and 4

Find the factors of 20. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 5, 10, 20

1 row1 and 202 rows3 rows4 rows2 and 10no4 and 5

Find the factors of 16. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8, 16

1 row2 rows3 rows4 rows1 and 162 and 8no4 and 4

Find the factors of 21. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 3, 7, 21

1 row2 rows3 rows4 rows1 and 21no3 and 7no

Find the factors of 16. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8, 16

1 row2 rows3 rows4 rows1 and 162 and 8no4 and 4

Find the factors of 8. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8

1 row2 rows1 and 82 and 4

Find the factors of 16. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8, 16

1 row2 rows3 rows4 rows1 and 162 and 8no4 and 4

Find the factors of 30. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 3, 5, 6, 10, 15, 30

1 row2 rows3 rows4 rows5 rows1 and 302 and 153 and 10no5 and 6

Find the factors of 16. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 2, 4, 8, 16

1 row2 rows3 rows4 rows1 and 162 and 8no4 and 4

Find the factors of 13. Try 1 row, 2 rows, 3 rows and so on. None left over: that is a factor pair. 1, 13

1 row2 rows3 rows1 and 13nono

Factors and multiples with arrays worksheet, page 1

What comes next?

6, 12, 18, … 24

Factor or multiple?

5 is a … of 20 factor

612182430
  1. Add one row at a time.
  2. Each total is a multiple.The multiples of 6: 6, 12, 18, 24, 30.
  3. Factor or multiple?3 is a factor of 12: it fits into 12. 12 is a multiple of 3: it is in the 3 times table.

Write the first 5 multiples of 7. Add one row at a time. Each total is a multiple. 7, 14, 21, 28, 35

714212835

Write the first 5 multiples of 9. Add one row at a time. Each total is a multiple. 9, 18, 27, 36, 45

918273645

Write the first 5 multiples of 7. Add one row at a time. Each total is a multiple. 7, 14, 21, 28, 35

714212835

Write the first 5 multiples of 8. Add one row at a time. Each total is a multiple. 8, 16, 24, 32, 40

816243240

Factors and multiples with arrays worksheet, page 2

Answer sheet

Thumbs up: true. Thumbs down: false.

  1. 3 is a factor of 15

    True

  2. 20 is a factor of 5

    False

  3. 18 is a multiple of 6

    True

  4. 4 is a multiple of 8

    False

  5. 7 is a factor of 7

    True

  1. I am a multiple of 4 and a factor of 24. I am between 10 and 24. What am I?

    12

  2. Find a number with exactly 3 factors.

    4 (1, 2, 4) or 9 (1, 3, 9)

  3. Which numbers under 20 have the most factors?

    12 and 18: 6 factors each

  1. Find the factors of 20. Try 1 row, 2 rows, 3 rows and so on.

    1, 2, 4, 5, 10, 20

  2. Write the first 4 multiples of 7.

    7, 14, 21, 28

  3. Fill in factor or multiple: 5 is a ____ of 30, and 30 is a ____ of 5.

    factor; multiple
Exit tickets to print