Listing multiples

Maths

Checking understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

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 number that is a multiple of two or more numbers

a number which is a factor of two or more numbers

Complete the statement. A common multiple is __________ .

Match each number with its first five multiples.

There are no common multiples of 3 and 5.

There are no common multiples of 2, 5 and 8

Identify the common multiples of 2, 5, and 8.

Jacob started listing the first five multiples of a number. He then spilled ink all over his work.  Find the number Jacob was listing the multiples for. {{ }}

Starting with the largest, sort these fractions into order of size. Use a common denominator to help you.

Complete the statement. Factors and multiples are __________ .

Given the calculation $$ 9\times 2 = 18 $$, select the correct statement:

Not possible as there are infinite number of factors of 10

Not possible as there are infinite number of multiples of 10

No, because multiples are always bigger than the factors.

Yes, because $$ 12\div 12 = 1 $$ and $$ 12\times 1 = 12 $$

Lucas is thinking about 12. He says "12 is a factor of 12 and 12 is a multiple of 12." Is he correct? Pick the correct justification.

Listing multiples

Lesson outcome