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Prime factorization
Free printable Grade 7 math worksheet for "Prime factorization" — practice number theory. No-prep, print or assign online.
This worksheet provides challenging exercises on prime factorization designed for Grade 7 students studying number theory. Teachers can use it to reinforce students' skills in breaking down numbers into prime components and applying these skills to related problems. It is ideal for classroom practice, homework assignments, or assessment preparation focusing on prime factorization and its applications.
Learning objectives
- Decompose composite numbers into their prime factors using factor trees and division methods
- Identify and apply prime factorization to solve problems involving greatest common factors and least common multiples
- Demonstrate understanding of prime factorization concepts through written explanations and problem-solving
Answer Key

How to use this worksheet
- Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
- Print at home or in class for Middle School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “Prime factorization” worksheet free?
Yes. “Prime factorization” is a free printable Math worksheet. Sign in with Google or email to download the PDF instantly.
What grade or age is this Math worksheet for?
It's designed for Middle School (ages 11–14), covering Number theory.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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