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 common multiple is a number that is a multiple of two or more numbers.

Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.

A perfect square is the same as a square number.

A perfect cube is the same as a cube number.

The base is the number or term that has been multiplied by itself.

An integer exponent identifies how many times the base number has been multiplied by itself.

Evaluate means to find the value of a numerical or an algebraic expression.

A prime number is an integer greater than one with exactly two factors.

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.

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

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.

a method to find the prime factors of a given integer

The highest common factor of two or more integers  which can be divided by all other possible common factors

an abbreviation for highest common factor

The lowest common multiple is the lowest number that is a multiple of two or more integers.

LCM is an abbreviation for lowest common multiple.

HCF is an abbreviation for highest common factor.

LCM is an abbreviation for lowest common factor.

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

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Properties of number: factors, multiples, squares and cubes

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