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

what is latoyas 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 x 45.

Question

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

what is latoyas 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 x 45.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Prime Factorization", "Factor Trees" ], "new_concepts": [], "current_concepts": [ "Prime Factorization", "Factor Trees" ] } ## Analyze the factor tree $$ \begin{aligned} &90 = 9 \times 10\ &9 = 3 \times 3\ &10 = 2 \times 5 \end{aligned} $$ The prime factors at the bottom of the tree are $3, 3, 2, 5$. ## Evaluate the written prime factorization $$ \begin{aligned} &\text{Latoya's expression: } 90 = 2 \times 3 \times 5\ &\text{Correct expression: } 90 = 2 \times 3 \times 3 \times 5 = 2 \times 3^2 \times 5 \end{aligned} $$ ## Identify the error $$ \begin{aligned} &\text{Latoya missed one factor of } 3.\ &\text{She should have written } 3^2 \text{ or } 3 \times 3. \end{aligned} $$

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 $2 \times 45$.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Prime Factorization" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the factor tree

Evaluate the written prime factorization

Identify the error

Answer: