Question

Findtheprimefactorizationof thefollowingandshowyourstepstogetthere.a)5175 b)8281

Answer 1

To decompose a number into its prime factors, we check if it tis divisible by a certain prime number. We start checking in order, so remember first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23.

Let's take a look at how it's done.

`\begin{gathered} 5175\text{ is not divisible by 2} \\ 8281\text{ is not divisible by 2} \end{gathered}`

We continue with 3,

`\begin{gathered} 5175\text{ is divisible by }3\rightarrow1725*3 \\ 8281\text{ is not divisible by }3 \end{gathered}`

Notice 1725 is still divisible by 3. Therefore,

`\begin{gathered} 1725\text{ is divisible by 3 }\rightarrow575*3*3 \\ 8281\text{ is not divisible by }3 \end{gathered}`

Let´s continue with 5,