Question

Latoya created a factor tree and wrote the prime factorization of 90 shown below.

A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.

Answer 1

B

✔ She should have included an exponent of 2 on the 3.

Explanation:

E2021

Answer 2

She should have included an exponent of 2 on the 3

Explanation:

The factor tree can be presented as follows;

`{}` 90

`{}` ↓

`{}` 9 ↔ 10

`{}` ↓ ↓

`{}` 3 ↔ 3 2 ↔ 5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.