Question

What is the prime factorization of 48?

Answer 1

`48 = 2xx2xx2xx2xx3`

Explanation:

Write 48 as the product if any two factors:

`48 = color(red)(8)xxcolor(blue)(6)" write each number as factors"`
`48 = color(red)(2xx4)xxcolor(blue)(2xx3)`
`48 = color(red)(2xx2xx2)xxcolor(blue)(2xx3)" continue until they are all prime"`

It does not matter what factors you start with.

`48 =color(red)( 4)color(blue)(xx12)`
`48= color(red)(2xx2)color(blue)(xx2xx6)`
`48 = color(red)(2xx2)color(blue)(xx2xx2xx3)`