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

Highest common factor

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

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

$$7^5$$ is a factor of an integer.  Which of the following are also factors of the same integer?

Which of the following is a factor of $$2^4\times3^2\times5^2$$ and of $$2^3\times3^4\times5$$?

The HCF of 36, 54 and 270 is 18.  The missing prime factor in the Venn diagram is {{ }}

A {{ }} number is the product of two repeated integers.

Write $$2^3\times3\times5^2$$ as an integer.

True or false? $$2^5\times3^3\times5$$ is an even integer

False, $$5^2$$ is 25 and that is not a multiple of 10

True or false? $$2\times3\times5^2$$ is a multiple of 10

Which of the following is a multiple of 6?

Which of the following is a square number?

Highest common factor

Lesson outcome