A numerical factor is a factor that is an integer.

A product is the result of two or more numbers multiplied together.

Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.

Listing factors

Maths

Checking understanding of factors, multiples, squares and cubes

Securing 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

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

Fill in a word to complete this sentence:  Listing factor pairs is more efficient if you use a {{ }} approach.

Which of the following is not a factor pair of 60? 

Which factor is missing from the Venn diagram? {{ }}

Which of the following is not a common factor of 24 and 32?

There are 7 factors which are not common to 18 and 30

The factors that are just factors of 18 are multiples of 9

There are 2 even common factors of 18 & 30	

Which of the following is not true of the Venn diagram?

Which of the following is $${30}\over{42}$$ in its lowest form?

Fill in the missing word:  A numerical {{ }} is an integer which exactly divides another integer. 

Given the calculation $$ 6\times 8 = 48 $$, select the correct statement:

Identify if the statement is sometimes true, always true or never true.  "A factor of a number is always less than the number."

Sam writes down a number that is greater than 1 and is a factor of 10 and of 15. Sam's number is {{ }}

Listing factors

Lesson outcome