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.

Power notation

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

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

Here is $$2^3$$. What does the number 2 represent?

Use exponents to simplify: $$2\times2\times2\times2\times2\times2\times2\times2\times2\times2$$

Six squared multiplied by eleven to the power of five

Five squared multiplied by three to the power of eight

Six squared multiplied by five to the power of eleven

Match each calculation with how it should be said out loud.

$$2\times2\times2\times3\times3\times3\times3$$

Match each calculation written using exponents with its equivalent calculation.

Starting with the smallest, put these numbers in ascending order of size.

Which word best goes in the gaps? The __________ root of the perfect __________  is the integer that has been multiplied by itself and then itself again to give that perfect __________ number.

Complete the calculation: $$\sqrt{144} = $$ {{  }}

Starting with smallest, put these roots in order of size.

Find the closest integer to $$\sqrt{30}$$

Find the closest integer to $$\sqrt[3]{1100}$$

Starter Quiz

Which word best goes in the gaps? The root of the perfect is the integer that has been multiplied by itself and then itself again to give that perfect __ number.