Question

2. Mrs. Morrison asked the class to generate an expression equivalent to 80. Lucy used the prime

factorization of 80 to form an equivalent expression. Which best represents the expression Lucy wrote?

Answer 1

To find an expression equivalent to 80 using prime factorization, decompose 80 into the prime factors 2× 2 × 2× 2 × 5, or more succinctly, 24 × 5. This is the equivalent expression that Lucy would have written.

Step-by-step explanation:

The question asks for an equivalent expression to the number 80 using its prime factorization. To find the prime factorization of 80, we can break it down into its prime factors. Starting with 80, we can divide by the smallest prime number 2: 80 ÷ 2 = 40. We can divide 40 by 2 again: 40 ÷ 2 = 20. Continuing this process: 20 ÷ 2 = 10, and again 10 ÷ 2 = 5. Since 5 is a prime number, we cannot factor it further. Thus, the prime factorization of 80 is 2× 2 × 2× 2 × 5 which can also be written as 24 × 5. So, Lucy's equivalent expression would be 24 × 5.