Question
Find the prime factorization of the number of 12
Answers
GPT-4o mini
To find the prime factorization of the number 12, we can break it down into its prime factors:
1. Start by dividing by the smallest prime number, which is 2:
\( 12 \div 2 = 6 \)
2. Next, divide 6 by 2 again:
\( 6 \div 2 = 3 \)
3. Now, 3 is a prime number and cannot be divided further.
Putting it all together, we have:
\[ 12 = 2 \times 2 \times 3 \]
or in exponential form:
\[ 12 = 2^2 \times 3^1 \]
Thus, the prime factorization of 12 is \( 2^2 \times 3 \).
1. Start by dividing by the smallest prime number, which is 2:
\( 12 \div 2 = 6 \)
2. Next, divide 6 by 2 again:
\( 6 \div 2 = 3 \)
3. Now, 3 is a prime number and cannot be divided further.
Putting it all together, we have:
\[ 12 = 2 \times 2 \times 3 \]
or in exponential form:
\[ 12 = 2^2 \times 3^1 \]
Thus, the prime factorization of 12 is \( 2^2 \times 3 \).