write 75 as a product of prime factors. in your answer, write each prime factor that appears more than once…

write 75 as a product of prime factors. in your answer, write each prime factor that appears more than once using an exponent. 75 =

write 75 as a product of prime factors. in your answer, write each prime factor that appears more than once using an exponent. 75 =

Answer

Explanation:

Step1: Divide by smallest prime

$75\div3 = 25$

Step2: Divide the quotient by prime

$25\div5 = 5$

Step3: Recognize remaining prime

The last 5 is prime.

Answer:

$75 = 3\times5^{2}$