A composite number is an integer with more than two factors. All integers greater than 1 are either composite or prime

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

Each composite number has a unique product of its prime factors.  i.e. there is only one unique way it can be written.

Expressing an integer as a product of its prime 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

Listing factors

Checking understanding of prime numbers

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 the missing word:  Integers greater than 1 are either {{ }} or prime.

What number is missing in this statement?  Composite numbers have more than {{ }} factors

What is the missing number in the first step in the process to find prime factors of 12? $$12 = 2 ×$$ {{ }}

What is the missing product in this process to find prime factors of 12?

Given that 120 = $$2^3\times3\times5$$, which of the following equals 600?

Given that 3600 = $$2^4\times3^2\times5^2$$, which of the following equals 360?

Fill in the missing word in this statement:   A number which has exactly 2 factors is called a {{ }} number.

Which of the following arrays shows that 6 is not a prime number?

Which of the following is not a prime number?

True, you cannot make an array with a width of 2

True or false?  All odd numbers between 2 and 10 are prime numbers.

Which is the odd one out in this list? 	37, 47, 57, 67

Expressing an integer as a product of its prime factors

Lesson outcome