Square and cube numbers

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 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

Which calculations will give a square number?

Andeep says " A square number can never be a cube number."

Aisha says "A square number can be a cube number."

The sum of a square number and cube number is 141. Work out the cube number.

The sum of two different square numbers and a cube number is 77. Work out the cube number.

A product is the result when two or more numbers are __________ .

Which of the following is the product of 8 and 5?

Complete the statement. A numerical factor is __________ which exactly divides another. 

The result of two or more numbers multiplied together.

Aisha says ”the answer is 6 because 3 lots of 2 equals 6."

Lucas says "6 because 2 multiplied by 2 is 4 and this multiplied by 2 is 6."

Alex says "8 because 2 multiplied by 2 is 4 and this multiplied by 2 is 8."

Three students were given this calculation: $$ 2\times 2\times 2$$. Who is correct? 

Starter Quiz

A product is the result when two or more numbers are __________ .