write the prime factorization of 45. use exponents when appropriate and order the factors from least to…

write the prime factorization of 45. use exponents when appropriate and order the factors from least to greatest (for example, 2²·3·5).

write the prime factorization of 45. use exponents when appropriate and order the factors from least to greatest (for example, 2²·3·5).

Answer

Explanation:

Step1: Divide by smallest prime

Divide 45 by 3. $45\div3 = 15$.

Step2: Divide the quotient

Divide 15 by 3. $15\div3=5$.

Step3: Recognize prime number

5 is a prime number.

Answer:

$3^{2}\cdot5$