Respuesta :

[tex]20=2^2\cdot5[/tex]

Explanation

to make a prime factorization, we need rewrite the number (20) as the product of primer number

so

Step 1

remember the prime numbers are special numbers, greater than 1, that have exactly two factors, themselves and 1

[tex]\text{prime numbers=}\lbrace2,3,5,7,11,,,\rbrace[/tex]

a) divide the number by the first prime number(2)

then

[tex]20=2\cdot\frac{20}{2}=2\cdot10[/tex]

again, divide 10 by 2

so

[tex]\begin{gathered} 20=2\cdot10 \\ 20=2\cdot2\cdot5 \\ \end{gathered}[/tex]

as we can see, now we have the number 20 as the producto of 2 prime numbers

[tex]20=2^2\cdot5[/tex]

I hope this helps you