Question

write the prime factorization of 100. use exponents when appropriate and order the factors from least to greatest (for example, $2^2 \cdot 3 \cdot 5$).

Explanation:

Step1: Divide 100 by 2

100 ÷ 2 = 50

Step2: Divide 50 by 2

50 ÷ 2 = 25

Step3: Divide 25 by 5

25 ÷ 5 = 5

Step4: Divide 5 by 5

5 ÷ 5 = 1
So the prime factors are 2, 2, 5, 5. Using exponents, we have \(2^2 \cdot 5^2\)

Answer:

\(2^2 \cdot 5^2\)