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

Divisibility tests for 6 and 9

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 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

All numbers that are divisible by 2 and divisible by 3 are also divisible by 1 and {{ }}

Which of these numbers is divisible by 6?

states the sum of its digits is a multiple of 3

states the digits 0, 2, 4, 6 or 8 must be in the ones column

states the sum of the digits is a multiple of 9

Match the divisibility test with the correct summary.

Jun says 340 is a multiple of 6. Jacob says 312 is a multiple of 6. Lucas says 366 is a multiple of 6. Who is incorrect?

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

 exactly divided by another number, leaving no remainder

Divisibility is a number’s ability to be:

A number is a multiple of 3 when the sum of its digits is divisible by {{ }}

Match each number with the correct statement.

Is the statement "all common multiples of 2 and 3 are even" sometimes true, always true or never true?

Is the statement "all common multiples of 3 and 7 are even" sometimes true, always true or never true?

The number 238 839 239 382.33 has a digit sum of 66. Sofia says it is a multiple of 3. Alex says it is also a multiple of 2. Andeep says it is not a multiple of 2 or 3. Who is correct?

Starter Quiz

Divisibility is a number’s ability to be: