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

Divisibility tests for 4 and 8

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

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

374 $$\quad$$ 394 $$\quad$$ 473 $$\quad$$ 848

434 $$\quad$$ 398 $$\quad$$ 247 $$\quad$$ 950

548 $$\quad$$ 344 $$\quad$$ 840 $$\quad$$ 236

Which of the following sets of numbers are divisible by 4?

376 $$\quad$$ 392 $$\quad$$ 472 $$\quad$$ 848

434 $$\quad$$ 398 $$\quad$$ 248 $$\quad$$ 950

482 $$\quad$$ 413 $$\quad$$ 840 $$\quad$$ 234

Which of the following sets of numbers are divisible by 8?

40 $$\quad$$ 804 $$\quad$$ 830 $$\quad$$ 484

48 $$\quad$$ 296 $$\quad$$ 896 $$\quad$$ 488

Which of the following sets of numbers are divisible by both 4 and 8?

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

the last three digits are a multiple of 8

the sum of the digits are a multiple of 9

Match each set of multiples to its correct description.

Jun says, “All common multiples of 4 and 8 are in the 32 times table.”

Sofia says, “All multiples of 4 are in the 8 times table.”

Aisha says, "All common multiples of 4 and 5 are odd."

Sam says, "All common multiples of 2, 4 and 8 are in the 8 times table."

Very large numbers are unlikely to be divisible by 4 and 8

Jun is given 483, 783, 839, 983 and 893 and says it is not necessary to do a divisibility test for 4 or 8. Which statement explains his reasoning?

Which of the following numbers are divisible by 2? 

Which of the following numbers are divisible by 5?

Which of the following numbers are divisible by 10?

Numbers that are divisible by 3, 5 and 10 are also divisible by 1 and {{  }}

Divisibility tests for 4 and 8

Lesson outcome