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:A ..Lina’s solution is correct because it .....

Step-by-step explanation: Her expression express is 126 as a product of prime factors .. Your welcome!!!

Answer 2

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

Explanation:

Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.

Prime factorization makes use of a factor tree

The number we are to carry out prime factorization on is 126

126

/\

3 42

/\

6 7

/\

2 3

The Prime Factorization is:

2 x 3 x 3 x 7

Hence, Lina'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.

Is correct.