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
- Preparation
- Print ready
- 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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