Question

Write the prime factorization of 20. Use exponents when appropriate and what are the factors from least to greatest 2^2 ,×3×5

Answer 1

`20=2^2\cdot5`

Step-by-step 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

`\text{prime numbers=}\lbrace2,3,5,7,11,,,\rbrace`

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

then

`20=2\cdot(20)/(2)=2\cdot10`

again, divide 10 by 2

so

`\begin{gathered} 20=2\cdot10 \\ 20=2\cdot2\cdot5 \\ \end{gathered}`

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

`20=2^2\cdot5`

I hope this helps you