Question

write the prime factorization of 44. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \cdot 3 \cdot 5$).

Explanation:

Step1: Divide 44 by smallest prime

Divide 44 by 2: \( 44 \div 2 = 22 \)

Step2: Divide quotient by 2 again

Divide 22 by 2: \( 22 \div 2 = 11 \)

Step3: 11 is a prime number

Now we have prime factors 2, 2, 11. Combine exponents for 2: \( 2^2 \cdot 11 \)

Answer:

\( 2^2 \cdot 11 \)