A square number is the product of two repeated integers

A cube number is the product of three repeated integers

A multiple is the product of a number and an integer

A numerical factor is a factor that is an integer

Problem solving with factors, multiples, squares and cubes

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

Calculating integers from their prime factor expressions

Highest common factor

Lowest common multiple

HCF or LCM

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

The product of two repeated integers is called a __________.

False, not all integers can be written as the product of two repeated integers.

True or false?  All integers are square numbers.

What are the dimensions of the largest square you can make with 90 counters?

Which of the following is both a square number and a cube number?

Which of the following is not written as a product of prime factors?

Which of the following are a correct answer to a string of consecutive numbers that satisfies: even, prime, composite, square

Sam makes two towers of blocks.  One uses blocks that are 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height? Is this an LCM or HCF problem?

Sam makes two towers of blocks.  One uses blocks that are each 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height? 

Aisha has 20 white flowers, 45 red flowers and 30 yellow flowers.  Aisha wants to make identical bunches.  What is the greatest number of bunches she can make?  

Laura goes to a club every 6 days, Andeep goes to the same club every 10 days and Lucas goes every 15 days.  They all went today.  How many days will it be until they all go on the same day again?

Problem solving with factors, multiples, squares and cubes

Lesson outcome