Jose wants to rewrite 24+924+9 using the greatest common factor and the distributive property. Which expression should he write?

Question

asked Mar 22, 2021 210k views

2 Answers

Cubius · Answer 1 · 2021-03-28T01:15:50+0000

Answer:

3(8+308+3)

And we can simplified like this:

3(319)

Explanation:

By definition the greatest common factor (GCF) of a set of numbers "is the largest factor that all the numbers share"

For this case we have the following numbers: 24,924 and 9, w cna find the factors of each one like this:

Factos of 24 are : 1,2,3,4,6,8,12,24

Factors of 9: 1,3,9

Factors of 924: 1,2,3.4.6,7,11,12,14,21,22,....,924

On this case we can see that the common factors between the 3 numbers are: 1,3 so then the GCF(24,924,9) =3

And then if we take this factor as the common factor for the expression 24+924+9 we got:

3(8+308+3)

And we can simplified like this:

3(319)