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

Divisibility tests for 2 and 3

Maths

Checking understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

Listing multiples

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

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

Sofia says, "All multiples of 2 are even." Is Sofia's statement sometimes true, always true or never true?

Jun says, "All common multiples of 3 and 5 are even."  Is Jun's statement sometimes true, always true or never true?

the digit in the ones column is always a 0, 2, 4, 6 or 8

the number is even and sum of the digits is a multiple of 3

Match each description of a multiple with the correct divisibility test.

Match each number with the correct statement.

Match an example of a common multiple of the numbers given.

Identify the common multiples of 2 and 7.

There are no common multiples of 3, 4 and 5

Identify the common multiples of 3, 4, and 5

A light flashes every 4 minutes. Another light flashes every 5 minutes. At 9 am, they flash at the same time. What time will they next flash together?

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

Starter Quiz

What are the first five multiples of 11?