A composite number is an integer with more than two factors.

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

Prime factors are factors of a number that are, themselves, prime.

An exponent is a number positioned above and to the right of a base value. It indicates repeated multiplication.

Calculating integers from their prime factor expressions

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

Listing factors

Checking understanding of prime numbers

Expressing an integer as a product of its prime factors

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

A square number is the product of two {{ }} integers.

Write $$2^2\times3\times5$$ as an integer.

True or false? $$2^3\times3\times5$$ is an even integer.

True, 5 is a factor and 10 is a multiple of 5

False, to be a multiple of 10 it must have a factor of 2 and 5

True or false? $$3\times5^2$$ is a multiple of 10

Which of the following is not a multiple of 6?

Which of the following is a square number?

Fill in the missing word:  Integers greater than 1 are either composite or {{ }}.

Which of the following shows that 77 is a composite number? 

What is the missing number in the first step in the process to find prime factors of 75? $$75 = 3 \times $${{ }}

What is the missing product in this process to find prime factors of 75?

Given 120 = $$2^3\times3\times5$$, which of the following equals 360?

Given 120 = $$2^3\times3\times5$$, which of the following equals 60?

Calculating integers from their prime factor expressions

Lesson outcome