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I cannot identify prime numbers and do not understand what makes a number prime. I need significant help with this concept.

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I struggle to identify prime numbers and am often unsure about what makes a number prime. I frequently confuse prime and composite numbers.

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I can identify some prime numbers and have a basic understanding of what makes a number prime, but I sometimes confuse prime and composite numbers.

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I can identify most prime numbers and have a good understanding of what makes a number prime, but I might hesitate with larger numbers.

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I can confidently identify prime numbers and explain why they are prime. I understand that prime numbers have exactly two factors: 1 and themselves.

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I cannot perform prime factorization and do not understand the process. I need significant help to complete even simple factorizations.

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I can attempt prime factorization but often make errors. I am unsure about some steps in the process and need guidance.

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I can perform prime factorization for simple numbers. I understand the basic process but struggle with larger or more complex numbers.

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I can perform prime factorization for most numbers. I understand the process but might make minor mistakes with larger or more complex numbers.

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I can confidently perform prime factorization for any given number. I understand and can explain each step of the process clearly.

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I cannot create factor trees and do not understand their purpose or how they relate to prime factorization. I need significant help with this concept.

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I can attempt to create factor trees but often make errors. I am unsure about how they relate to prime factorization and need guidance.

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I can create simple factor trees and understand their basic purpose. I sometimes struggle with more complex numbers or explaining the connection to prime factorization.

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I can create factor trees for most numbers. I understand their relation to prime factorization but might make minor mistakes with complex numbers.

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I can create accurate factor trees for any given number. I understand how factor trees relate to prime factorization and can explain the connection clearly.

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I cannot apply prime factorization to solve problems. I do not understand its usefulness in finding GCF and LCM and need significant help with these applications.

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I can attempt to apply prime factorization in problem-solving but often make errors. I am unsure about why it's useful in finding GCF and LCM and need guidance.

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I can apply prime factorization to solve simple problems involving GCF and LCM. I have a basic understanding of its usefulness but struggle with more complex applications.

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I can apply prime factorization to solve most problems involving GCF and LCM. I understand its usefulness but might make minor mistakes in complex situations.

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I can confidently apply prime factorization to solve problems, such as finding GCF and LCM. I understand and can explain why prime factorization is useful in these situations.

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I do not feel confident at all about my understanding of prime factorization. I need significant help to grasp the basic concepts and their applications.

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I do not feel very confident about my understanding of prime factorization. I struggle to explain the concept and need more help and practice.

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I feel somewhat confident about my understanding of prime factorization. I can explain basic ideas but need more practice to fully grasp all aspects.

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I feel confident about my understanding of prime factorization. I can explain the concept to others but might need to review some aspects for full clarity.

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I feel very confident about my understanding of prime factorization. I can teach the concept to others and apply it in various mathematical situations.