These worksheets will teach your students how to calculate prime factors for a given number.

Prime factorization is the process of determining which prime numbers can be multiplied to form the original number. This usually starts by listing all the primes of the value and then evaluate each to see which can be multiplied to get that original value. Students often have difficulty when we are focused on prime numbers, but there are many possibilities and the more repetition they get with this skill, the better they will be off. Prime integers are whole numbers greater than one which you cannot make any other way than by multiplying other whole numbers together. Numbers that do not fit those criterion are referred to as Composite Numbers. That little bit of background leads us to Prime Factorization which is the task of determining prime numbers that when multiplied makes the original number you were given.

The lessons that are provided will explain how to find the prime factor of a number. The following activity sheets will give your students practice in calculating prime factors, those factors which are not divisible by any other number than themselves. Answers may include variables, expressions, and exponents.

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Print Prime Factorization Worksheets

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Factorizing Numbers Lesson

This worksheet explains how to factorize the number to determine the prime factors. The step-by-step solution to a sample problem is presented and two practice problems are provided.

Processing Primes Lesson

This worksheet explains how to find the prime factorization of a given number. A sample problem is provided.

Review and Lesson

This worksheet explains how to factor using distributive property. A sample problem is provided and two practice problems are provided.

Practice Worksheet

You will be given a series of numbers that you must break down all the way.

Greatest Common Factor Practice

Students will find the GCF of the monomials and find the missing factor. They must assume that y as a positive integer.

More Factorization Drill

A stellar addition to your practice topic on this skill.

Skill Warm Up

You are tasked to find all the missing factors. Three problems are provided.

Prime Powerup Practice Sheet

In the problem, one of the prime factors is already given, so a factors needs to calculated that when multiplied by 2 gives 36, which is 18.

Factoring Lesson

The step-by-step solution to a sample problem is presented and two practice problems are provided.

Transition Worksheet

You will learn to continue breaking down values until it is not possible to break it anymore.

Practice With a Hint

Recommendation: First see if the number is divisible by 2, 3, 5, 9 or 10. Ten problems are provided.

The Skill Drill

In this worksheet, students will practice the skill in quick succession. Eight problems are provided.

Class Warm Up

This is a good sheet to use with all your students as a group.

Expressing the Prime Factorization Using Exponential Notation Lesson

This worksheet explains how to express prime factorization using exponential notation. A sample problem is provided and two practice problems are provided.

Practice Worksheet

Breakdown the problem using the tree diagram that we have started for you.

More Practice

Students will demonstrate their ability break down the components the given numbers. Ten problems are provided.

Exercise For Your Brain

Consider the process that is required and then repeat it on each problem.

Class Warm Up

In this worksheet, students will complete each prime factorization. Three problems are provided.

Simple Lesson

We get you back to basics with this lesson.

Exponents Review and Lesson

We help you master the use of exponents with this skill.

What Are the Whole Numbers? Worksheet

We get a little more advanced with this topic. Numbers go up to the thousands.

A Little Algebra Worksheet

We learn how to do this skill in an algebraic environment.

Find the Value Worksheet

What do you think the end value should be?

Correct It Warm Up

Are these equations set up correctly? If it is not, you will need to fix them.

Prime Factorization of a two-digit Number Lesson

This sheet focuses solely on two digit values.

Review and Lesson

We continue on with this same skil.

Practice Worksheet

Practice your ability to find the primes of 2-digit whole numbers. Ten problems are provided.

Class Review and Lesson

You will learn to stop if all the factors are prime. A sample problem is provided and two practice problems are provided.

Full Skills Sheet

You are completely on your own with this sheet.

Master Practice Sheet

You will need to break this one down as far as you can.

More Reps For You

The step-by-step solution to a sample problem is presented and six practice problems are provided.

Grasp It Quiz

Students will show their proficiency with the topic. Ten problems are provided.

Find the Prime Factor: Check Your Skills

You will be working on three values here. Space is provided to copy the correct answer when provided.

Even More Practice Worksheet

The longer you spend with this skill, the more automatic it will be for you.

Last Practice

This is it for the series. See how you did with the skill.

Full-on Warm Up

You will get one last chance to show how you do with this one.