what are the prime factors of 90? a 1, 90 b 1, 3 c 2, 3, 5, 90 d 2, 3, 5

Explanation:

Step1: Divide 90 by prime numbers

Start with the smallest prime number 2. $90\div2 = 45$.

Step2: Divide the quotient by prime numbers

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

Step3: Divide the new - quotient by prime numbers

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

Step4: Identify prime factors

Since 5 is a prime number, the prime - factorization of 90 is $90=2\times3\times3\times5$. The distinct prime factors of 90 are 2, 3, and 5.

Answer:

D. 2, 3, 5