Question
Write 44 as a product of prime factors.
In your answer, write each prime factor that appears more than once using an exponent.
In your answer, write each prime factor that appears more than once using an exponent.
Answers
GPT-4o mini
To express 44 as a product of prime factors, we can start by dividing it by the smallest prime number, which is 2.
1. \( 44 \div 2 = 22 \)
2. \( 22 \div 2 = 11 \)
Now, 11 is also a prime number. So, we can express 44 as follows:
\[
44 = 2 \times 2 \times 11
\]
We can also write this using exponents for the prime factor that appears more than once:
\[
44 = 2^2 \times 11^1
\]
Therefore, the prime factorization of 44 is:
\[
2^2 \times 11
\]
1. \( 44 \div 2 = 22 \)
2. \( 22 \div 2 = 11 \)
Now, 11 is also a prime number. So, we can express 44 as follows:
\[
44 = 2 \times 2 \times 11
\]
We can also write this using exponents for the prime factor that appears more than once:
\[
44 = 2^2 \times 11^1
\]
Therefore, the prime factorization of 44 is:
\[
2^2 \times 11
\]