Factors are numbers that multiply together to equal another number.

Long division is a method used for dividing large numbers by breaking the number down into smaller groups.

A prime number is a number with exactly 2 factors.

A remainder is an amount left after a division.

Solve problems with 4-digit dividends using factors and long division

Maths

In this unit pupils will learn to multiply a 3-digit by a 2-digit number They will use accurately short and long division and use a ratio chart to solve short and long division. In the future unit pupils will add, subtract, divide and multiply with integers, decimals, positive and negative values.

In the prior unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication. In this unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount. 

Multiplying and dividing by 2-digit numbers

Select equivalent expressions with a product of 24

Divide 2,120 by 2 then divide by 3 then divide by 3          

Divide 2,120 by 6 then divide by 2 then divide by 2         

Complete the missing expression from the box below.

Which partition pair is missing from the part-part-whole model to show efficient division? 

Which of the following is a reasonable estimate for the following equation: 5,405 ÷ 23 =

Calculate the equation using long division. 

Match the multiplication equations to related division facts.

Use the multiplication facts to derive 14 × 13 = {{ }}

Which of the following is a reasonable estimate for the following equation. 414 ÷ 18 = 

Calculate the equation using long division. 414 ÷ 18 = {{ }}

This lesson will be removed by end of Summer Term 2025.

Solve problems with 4-digit dividends using factors and long division

Lesson outcome

This lesson will be removed by end of Summer Term 2025.