Factorising into a single bracket

The Maths Habit

How many ways can you
write 24 as a multiplication?

1 × 24, 2 × 12, 3 × 8, 4 × 6, 2 × 3 × 4, …

What is the highest common factor?

  1. 6 and 9

    3

  2. 18 and 27

    9

  3. 10x and 15

    5

  4. x2 and 7x

    x

Factorise
Put the bracket back: write the expression as a multiplication.
Common factor
A number or letter that divides into every term.

Factorise 14x + 21.

2x+ 3714x+21
Answer7(2x + 3)

Factorise 6x − 15.

2x− 536x−15
Answer3(2x − 5)

Factorise 14x + 21.

2x+ 3714x+21
Answer7(2x + 3)

Factorise 10a + 4.

5a+ 2210a+4
Answer2(5a + 2)

Factorise 14x + 21.

2x+ 3714x+21
Answer7(2x + 3)

Factorise 12y − 18.

2y− 3612y−18
Answer6(2y − 3)

Factorise 14x + 21.

2x+ 3714x+21
Answer7(2x + 3)

Factorise x2 + 5x.

x+ 5xx2+5x
Answerx(x + 5)

Factorise 14x + 21.

2x+ 3714x+21
Answer7(2x + 3)

Factorise 15m + 10n.

3m+ 2n515m+10n
Answer5(3m + 2n)

Factorising into a single bracket worksheet, page 1

Answer sheet

  1. Sam factorises 12x + 18 as 2(6x + 9). Has he finished?

    No: 6(2x + 3)

  2. The area of a rectangle is 6x + 15. One side is 3. Find the other side.

    2x + 5

  3. Kai says t2 + 8t cannot be factorised because 1 and 8 have no common factor. Factorise it.

    t(t + 8)

  1. Factorise 6a + 15

    3(2a + 5)

  2. Factorise y2 − 9y

    y(y − 9)

  3. Remi factorises 24n − 16 as 4(6n − 4). Factorise it fully.

    8(3n − 2)
Exit tickets to print