Lina and Josh each made a factor tree to find the prime factorization

1.	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» 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

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»

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