Free Printable WorksheetMathGrade 6Math Curriculum6.NS.B.4

6.34 Write Prime Factorizations Using Exponents Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.34 Write Prime Factorizations Using Exponents. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice shows the correct prime factorization written with exponents? (CCSS 6.NS.B.4; CA 6.NS.B.4; MA 6.NS.B.4; NY NY-6.NS.4; TX 19 TAC §111.26(b)(7)(A); FL MA.6.NSO.3.1; VA 6.NS.3a)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.34 Write Prime Factorizations Using Exponents skill assessments:

Problem 1Difficulty: Mastery

Which option shows 19600 as a product of prime numbers with exponents for repeats?

A2⁵ * 5² * 7²

B2⁴ * 5³ * 7²

C2⁴ * 5² * 7³

D2⁴ * 5² * 7²

Solution & Explanation:Factoring completely gives 2 * 2 * 2 * 2 * 5 * 5 * 7 * 7. Rewriting repeated factors as powers gives 2⁴ * 5² * 7².

Problem 2Difficulty: Mastery

Which answer choice is the correct prime-power factorization of 17640?

A2³ * 3² * 5 * 7²

B2⁴ * 3² * 5 * 7²

C2³ * 3³ * 5 * 7²

D2³ * 3² * 5² * 7²

Solution & Explanation:Count each repeated prime in 17640: 2 appears 3 times, 3 appears 2 times, 5 appears 1 time, 7 appears 2 times. That makes the prime factorization 2³ * 3² * 5 * 7².

Problem 3Difficulty: Mastery

Which option records the factorization of 15876 after grouping matching prime factors?

A2³ * 3⁴ * 7²

B2² * 3⁵ * 7²

C2² * 3⁴ * 7²

D2² * 3⁴ * 7³

Solution & Explanation:A prime factorization uses only prime bases. For 15876, the primes are 2 * 2 * 3 * 3 * 3 * 3 * 7 * 7, so the correct exponent form is 2² * 3⁴ * 7².

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Frequently Asked Questions

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QIs this 6.34 Write Prime Factorizations Using Exponents worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.NS.B.4 (Write Prime Factorizations Using Exponents).