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

Starter quiz

The factor pairs of 20 are:

1 and 20 ✓

2 and 10 ✓

4 and 5 ✓

18 and 2

200 and 10
Match the multiplication equations to related division facts.

10 × 14 = 140

⇔

140 ÷ 10 = 14 ✓

2 × 14 = 28

⇔

28 ÷ 2 = 14 ✓

4 × 14 = 56

⇔

56 ÷ 4 = 14 ✓

20 × 14 = 280

⇔

280 ÷ 20 = 14 ✓

30 × 14 = 420

⇔

420 ÷ 30 = 14 ✓
Use the multiplication facts to derive 14 × 13 = ______

'182' ✓
Match the equations to their products.

1 × 18 =

⇔

18 ✓

2 × 18 =

⇔

36 ✓

4 ×18 =

⇔

72 ✓

5 × 18 =

⇔

90 ✓

10 × 18 =

⇔

180 ✓
Which of the following is a reasonable estimate for the following equation. 414 ÷ 18 =

15

20

25 ✓

30

35
Calculate the equation using long division. 414 ÷ 18 = ______

'23' ✓

Select equivalent expressions with a product of 24

2 × 12 ✓

2 × 2 × 6 ✓

2 × 2 × 7

2 × 2 × 2 × 3 ✓

3 × 2 × 4 ✓
How could 2,120 be divided by 24?

Divide 2,120 by 3 then divide by 8 ✓

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.

'3' ✓
Which partition pair is missing from the part-part-whole model to show efficient division?

240 and 18 ✓

250 and 8

230 and 28

220 and 38

255 and 3
Which of the following is a reasonable estimate for the following equation: 5,405 ÷ 23 =

100

200

250 ✓

350

500
Calculate the equation using long division.

'235' ✓

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

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.

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.