Question

How to factor 16n+24

Answer 1

Step-by-step explanation

Our task is to factor the expression
`16n+24`.

So what we do is we find the gcf of this expression by listing all the factors of 16 and 24,

16 -> 1, 2, 4, 8, 16

24 -> 1, 2, 3, 4, 6, 8, 12, 24

gcf -> 8

We factor it out :

• 16n + 24

Divide each term by 8;

• 8(2n + 3)

Answer 2

8*(2n + 3)

Explanation:

First prime factorize 16 and 24 and then find the GCF/HCF.

16 = 2 * 2 * 2 * 2

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 2 = 8

Now, 16 = 8 *2

24 = 8 *3

16n + 24 = 2*8*n + 8 *3

Take the common factor 8 from both the terms.

= 8*(2n + 3)

Answer: 8*(2n + 3)