Question

PLEASE HELP! Lina and Josh each made a factor tree to find the prime factorization of 126.

Lana Josh
126
/ \ 
3 42  
/ \
6 7 
/ \
2 3
Josh 
126
/   \
2  63
    /   \
  9   7
Which statement explains the accuracy of the students’ work?
a)Lina’s solution is correct because it expresses 126 as a product of prime factors.
b)Josh’s solution is correct because the factor tree of every even number must begin with 2 and its factor pair.
c)Both solutions are correct because they both express 126 as a product of factors.
d)Neither solution is correct because the factor tree should have begun with 6 and 21.

Answer 1

Its A if they are talking about a prime factorization tree.

Answer 2

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

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
`3 * 3` 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 factors.