Lina and Josh each made a factor tree to find the prime factorization of 126. Lina's Solution Josh's Solution 2 factor trees. Al
ina'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.
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step 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
