Question

Complete this prime factor tree for 28:

a) 2 * 2 * 7
b) 2^2 * 7
c) 2^3 * 7
d) 2 * 14

Answer 1

The completion of the prime factor tree for the number 28 results in the prime factorization 2 squared times 7, represented as 2^2 × 7.

Step-by-step explanation:

The student's question requires us to complete a prime factor tree for the number 28 and determine the correct factorization among the given options. The correct prime factorization of 28 can be found by breaking down the number into its prime factors. Since 28 is divisible by 2, we divide it by 2 to get 14. We can further divide 14 by 2 to get 7, which is a prime number and cannot be divided further. Therefore, the prime factorization of 28 is 2 times 2 times 7, which can be written using exponents as 22 × 7.