New
New
Year 6

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

I can solve problems with 4-digit dividends using factors and long division.

New
New
Year 6

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

I can solve problems with 4-digit dividends using factors and long division.

Lesson details

Key learning points

  1. Factors of a divisor can be used to divide a dividend.
  2. Listing multiples of the divisor improves efficiency and accuracy with written division methods.
  3. Listing multiples helps to reduce the number of steps in the long division.

Keywords

  • Factor - Factors are numbers that multiply together to equal another number.

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

  • Prime number - A prime number is a number with exactly 2 factors.

  • Remainder - A remainder is an amount left after a division.

Common misconception

Pupils may be overwhelmed by the long division algorithm, especially with using multiples of the divisor and subsequent subtraction calculations.

Encourage pupils to complete and make use of the multiplication facts tables to support them in their calculation.

In this lesson, pupils explore strategies for calculating 4-digit numbers divided by a 2-digit number. Pupils should have some familiarity with factors before the session, including describing numbers using 3 or 4 factors. They should also have some experience of using the long division algorithm.
Teacher tip

Equipment

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
The factor pairs of 20 are:
Correct answer: 1 and 20
Correct answer: 2 and 10
Correct answer: 4 and 5
18 and 2
200 and 10
Q2.
Match the multiplication equations to related division facts.
Correct Answer:10 × 14 = 140 ,140 ÷ 10 = 14

140 ÷ 10 = 14

Correct Answer:2 × 14 = 28,28 ÷ 2 = 14

28 ÷ 2 = 14

Correct Answer:4 × 14 = 56,56 ÷ 4 = 14

56 ÷ 4 = 14

Correct Answer:20 × 14 = 280,280 ÷ 20 = 14

280 ÷ 20 = 14

Correct Answer:30 × 14 = 420,420 ÷ 30 = 14

420 ÷ 30 = 14

Q3.
Use the multiplication facts to derive 14 × 13 =
An image in a quiz
Correct Answer: 182
Q4.
Match the equations to their products.
Correct Answer:1 × 18 =,18

18

Correct Answer:2 × 18 =,36

36

Correct Answer:4 ×18 =,72

72

Correct Answer:5 × 18 =,90

90

Correct Answer:10 × 18 =,180

180

Q5.
Which of the following is a reasonable estimate for the following equation. 414 ÷ 18 =
15
20
Correct answer: 25
30
35
Q6.
Calculate the equation using long division. 414 ÷ 18 =
An image in a quiz
Correct Answer: 23

6 Questions

Q1.
Select equivalent expressions with a product of 24
Correct answer: 2 × 12
Correct answer: 2 × 2 × 6
2 × 2 × 7
Correct answer: 2 × 2 × 2 × 3
Correct answer: 3 × 2 × 4
Q2.
How could 2,120 be divided by 24?
Correct answer: Divide 2,120 by 3 then divide by 8
Divide 2,120 by 2 then divide by 3 then divide by 3
Correct answer: Divide 2,120 by 6 then divide by 2 then divide by 2
Q3.
Complete the missing expression from the box below.
An image in a quiz
Correct Answer: 3
Q4.
Which partition pair is missing from the part-part-whole model to show efficient division?
An image in a quiz
Correct answer: 240 and 18
250 and 8
230 and 28
220 and 38
255 and 3
Q5.
Which of the following is a reasonable estimate for the following equation: 5,405 ÷ 23 =
100
200
Correct answer: 250
350
500
Q6.
Calculate the equation using long division.
An image in a quiz
Correct Answer: 235