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

Divisibility tests for 5 and 10

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 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

Any number so long as the digits sum to a multiple of 5

Lucas has a four digit number.  The first three digits are:  3, 4 and 5.  What must the last digit be to make the number divisible by 5?

Which of the following numbers are divisible by 5? 

Which of the following numbers is divisible by 10?

the digits 0, 2, 4, 6 or 8 are in the ones column

Match each statement with the correct divisibility test.

Numbers that are divisible by 3 and 5 are:

Which number is a multiple of 3, 5 and 10?

All numbers that are divisible by 6 are also divisible by __________

Which of these numbers is divisible by 6?

Which of these numbers is divisible by 9?

Large numbers are unlikely to be divisible by 6

It is odd so it can not be divisible by 6

Jun can see immediately that 239 284 214 389 184 391 is not divisible by 6. Which statement explains Jun's reasoning?

Which of the following numbers is divisible by both 6 and 9?

Divisibility tests for 5 and 10

Lesson outcome