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.
[tex]\begin{gathered} 5175\text{ is not divisible by 2} \\ 8281\text{ is not divisible by 2} \end{gathered}[/tex]We continue with 3,
[tex]\begin{gathered} 5175\text{ is divisible by }3\rightarrow1725\times3 \\ 8281\text{ is not divisible by }3 \end{gathered}[/tex]Notice 1725 is still divisible by 3. Therefore,
[tex]\begin{gathered} 1725\text{ is divisible by 3 }\rightarrow575\times3\times3 \\ 8281\text{ is not divisible by }3 \end{gathered}[/tex]Let´s continue with 5,
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