Questions: Enter the prime factorization of 96.

Transcript text: Enter the prime factorization of 96.

Solution

Solution Steps

To find the prime factorization of 96, we need to divide 96 by the smallest prime number (2) and continue dividing the quotient by 2 until it is no longer divisible by 2. Then, we proceed with the next smallest prime number (3) and repeat the process until the quotient is 1. The prime factors are the prime numbers we used in the divisions.

Step 1: Prime Factorization Process

To find the prime factorization of \( 96 \), we start by dividing \( 96 \) by the smallest prime number, which is \( 2 \). We continue dividing by \( 2 \) until it is no longer divisible:

\[ 96 \div 2 = 48 \\ 48 \div 2 = 24 \\ 24 \div 2 = 12 \\ 12 \div 2 = 6 \\ 6 \div 2 = 3 \\ 3 \div 3 = 1 \]

Step 2: Collecting Prime Factors

From the divisions, we collect the prime factors: