Securing understanding of factors, multiples, squares and cubes

Maths

Checking understanding of factors, multiples, squares and cubes

Listing multiples

Divisibility tests for 2 and 3

Divisibility tests for 6 and 9

Divisibility tests for 5 and 10

Divisibility tests for 4 and 8

Square and cube numbers

Square and cube roots

Power notation

Powers and roots using a calculator

Listing factors

Checking understanding of prime numbers

Expressing an integer as a product of its prime factors

Calculating integers from their prime factor expressions

Highest common factor

Lowest common multiple

HCF or LCM

Problem solving with factors, multiples, squares and cubes

This unit on factors, multiples, squares and cubes helps pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used in the next unit to explore multiplying and dividing with decimals.

In this unit, pupils learnt how to identify common factors and common multiples. in this unit, pupils build on this understanding to find the LCM and HCF

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.

Properties of number: factors, multiples, squares and cubes

__________ and __________ are inverse concepts.

Given the calculation $$ 8\times 5 = 40 $$, select the correct statement:

What number is a factor of every integer except zero? {{ }}

Not possible as there are infinite number of factors of 5

List all the factors of 5. Use the multiplication grid to help you.

Not possible as there are an infinite number of multiples of 8

List all the multiples of 8. Use the multiplication grid to help you.

Identify if the statement is sometimes true, always true or never true.  "A multiple of a number is bigger than its highest factor."

A numerical {{ }} is an integer which exactly divides another integer.

Which of the following is a multiple of 7 ?

A __________ number is the product of two repeated integers.

Which of the following is a factor of 36?

Work out the unknown number: "I am less than 100. I am a cube number. I am a factor of 24. I am even." {{ }}

Securing understanding of factors, multiples, squares and cubes

Lesson outcome