Question

Lina and Josh each made a factor tree to find the prime factorization of 126. Lina’s Solution Josh’s Solution 2 factor trees. Alina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126 = 2 times 3 squared times 7. Josh's factor tree of 126. 126 branches to 2 and 63. 63 branches to 9 and 7. The equation is 126 = 2 times 7 times 9. Which statement explains the accuracy of the students’ work? Lina’s solution is correct because it expresses 126 as a product of prime factors. Josh’s solution is correct because the factor tree of every even number must begin with 2 and its factor pair. Both solutions are correct because they both express 126 as a product of factors. Neither solution is correct because the factor tree should have begun with 6 and 21.

Answer 1

Answer:

Lina’s solution is correct because it expresses 126 as a product of prime factors.

Step-by-step explanation:

Given :

Lina             Josh      

126                 126

/ \                     /   \

3 42                2  63

/ \                          /   \

6 7                       9   7

/ \

2 3

Solution:

Since Josh didn't solved it further as 9 can be written as   further.

So, Josh's solution is incorrect.

Hence option A is correct.

Lina’s solution is correct because it expresses 126 as a product of prime factor