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Properties of number: factors, multiples, squares and cubes

Properties of number: factors, multiples, squares and cubes

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Why this why now

This unit continues to develop proficiency in handling and recognising different types of numbers, as well as understanding their mathematical structure in order to be more efficient and fluent with mathematical operations in the following unit.

Prior knowledge requirements

  • Identify and list factors and multiples
  • Recognise and calculate square and cube numbers
  • Apply divisibility rules and prime factorisation

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Why this why now

This unit continues to develop proficiency in handling and recognising different types of numbers, as well as understanding their mathematical structure in order to be more efficient and fluent with mathematical operations in the following unit.

Prior knowledge requirements

  • Identify and list factors and multiples
  • Recognise and calculate square and cube numbers
  • Apply divisibility rules and prime factorisation

Properties of number: factors, multiples, squares and cubes

In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.

19 lessons in unit

  1. 1

    Checking understanding of factors, multiples, squares and cubes

    I can state the factors and multiples for different numbers and identify square and cube numbers.
  2. 2

    Securing understanding of factors, multiples, squares and cubes

    I can use the multiplication tables to identify factors and multiples.
  3. 3

    Listing multiples

    I can state what a multiple is and can list multiples and common multiples of two or more numbers.
  4. 4

    Divisibility tests for 2 and 3

    I can identify and explain whether a number is or is not a multiple of a given integer.
  5. 5

    Divisibility tests for 6 and 9

    I can identify and explain whether a number is or is not a multiple of a given integer.
  6. 6

    Divisibility tests for 5 and 10

    I can identify and explain whether a number is or is not a multiple of a given integer.
  7. 7

    Divisibility tests for 4 and 8

    I can identify and explain whether a number is or is not a multiple of a given integer.
  8. 8

    Square and cube numbers

    I can explain the concept of squared and cubed numbers and calculate them.
  9. 9

    Square and cube roots

    I can explain the concept of square root and cube root and calculate them.
  10. 10

    Power notation

    I can understand and use correct notation for positive integer exponents.
  11. 11

    Powers and roots using a calculator

    I can use the keys for squares and other powers and square root on a calculator.
  12. 12

    Listing factors

    I can state what a factor is and can identify factors of positive integers.
  13. 13

    Checking understanding of prime numbers

    I can state the properties of a prime number and can identify prime numbers.
  14. 14

    Expressing an integer as a product of its prime factors

    I can write any positive integer uniquely as a product of its prime factors.
  15. 15

    Calculating integers from their prime factor expressions

    I can evaluate a number written as a product of its prime factors.
  16. 16

    Highest common factor

    I can use the prime factorisation of two or more positive integers to efficiently identify the highest common factor.
  17. 17

    Lowest common multiple

    I can use the prime factorisation of two or more positive integers to efficiently find their lowest common multiple.
  18. 18

    HCF or LCM

    I can use the prime factorisation of two or more positive integers to efficiently find either the highest common factor or lowest common multiple, depending on the context of the question.
  19. 19

    Problem solving with factors, multiples, squares and cubes

    I can use my knowledge of factors, multiples, squares and cubes to solve problems.

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak