Question

write the prime factorization of 20. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \cdot 3 \cdot 5$).

Explanation:

Step1: Divide by smallest prime

Divide 20 by 2 (smallest prime). $20 \div 2 = 10$.

Step2: Divide again by 2

Divide 10 by 2. $10 \div 2 = 5$.

Step3: Check prime status

5 is a prime number. So prime factors are 2, 2, 5.

Step4: Write with exponents

Express repeated factors with exponents: $2^2 \cdot 5$.

Answer:

$2^2 \cdot 5$