A multiple is the product of a number and an integer.

A numerical factor is a factor that is an integer.

A square number is the product of two repeated integers.

A cube number is the product of three repeated integers.

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

Checking understanding of factors, multiples, squares and cubes

Maths

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

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 __________ is the result of two or more numbers multiplied together.

Which of the following is a multiple of 8?

A numerical __________ is an integer which exactly divides another integer.

Which of the following is a factor of 12?

Work out the unknown number:  "I am less than 100. I am a multiple of 2. I am a square number. I am a cube number." {{ }}

Which of the following is the same as $$ 5\times5 $$ ?

Which of the following are the first five numbers in the 6 multiplication table?

__________  are any positive or negative whole number or zero.

What is the row and column dot length of this array?

A 3 by 4 array, 6 by 2 array and a 12 by 1 array all have the same number of dots. How many dots does each array have? {{  }}

How many dots are in an array with a row and a column length of 10? {{ }}

Checking understanding of factors, multiples, squares and cubes

Lesson outcome