24x+16 how do you factorise fully ?

3 Answers
Jun 1, 2018

8(3x+2)

Explanation:

Finding the highest common factors that go into both numbers:

Factors of 24:

24 and 1
12 and 2
8 and 3
6 and 4

Factors of 16:

16 and 1
8 and 2
4 and 4

As we can see, 8 is the HCF (highest common factor) in both numbers, so we factor this outside the bracket.

rArr 8(...+...)

therefore 8 needs to multiply into 24x and 16

rArr 8 xx 3x=24x

rArr 8 xx 2=16

therefore rArr 8(3x+2)=24x+16

Jun 1, 2018

8(3x+2)

Explanation:

"take out a "color(blue)"common factor "8

=8(3x+2)

Jun 1, 2018

8(3x+2)

Explanation:

Find the common factors of 24 and 16 (numbers that multiply to give 24 and 16 respectively):

24: 1, 2, 3, 4, 6, 8, 12, 24
16: 1, 2, 4, 8, 16

Then find the highest common factor of 24 and 16 which is 8.

Take 8 to be on the outside of the bracket as this will be the number the terms would be multiplied by to give 24x and 16. Divide each term by 8 and you should get:

8(3x+2)

This is the fully factorised form of 24x+16.