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Problem Solving Strategies: Big Factors | Math Worksheet

Number theory challenge: students express 1,000,000,000 as the product of two whole numbers that contain no zero digits, using guess-and-check, powers of 10 and prime factorization.
Grades
Grades 6–9, Middle School, High School
File type
PDF
Preparation
Print ready

Updated Oct 13, 2026

Topic
math worksheet, problem solving
Resource types
Worksheets & Printables, Word Problems, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Problem Solving Strategies: Big Factors Math Worksheet helps students through the problem solving process. This printable gives students a challenging word problem with space to solve it. It can be used individually or in groups to foster discussion around solving strategies. The step-by-step guide breaks the problem solving method into: think about the problem and ask clarifying questions, make conjectures about possible solutions, discuss approaches with peers, try out solutions by showing work, then review and evaluate the solution. With repeated practice using this technique on complex multi-step story problems, students will build competency in unpacking problems and developing organized solution paths. This resource helps students persist when faced with challenging problems, building critical thinking and reasoning skills essential for further math and science learning. Use during independent practice, centers, bell-ringers, or homework to provide opportunities for students to approach multi-step word problems methodically. Modify for small group instruction by projecting and discussing as a class. Extend with similar printable resources focused on unpacking problems through guided steps.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Write a power of 10 as a product of prime factors
  • Use exponent rules to split a large number into two factors

Teaching tips

  • A calculator is referenced for checking powers of 10 while students test possible factor pairs.

Skills covered

  • Systematic search — testing factor pairs of one billion that avoid the digit zero

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Resource details

Concepts & topics

Core concepts

  • Powers of 10
  • Exponents
  • Prime factorization
  • Factors

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