Strengthen math skills with this collection of free prime factorization worksheets. Students break down numbers into their prime factors using factor trees, a simple visual method for organizing the steps of prime factoring.
These printable worksheets are ideal for reinforcing concepts like prime numbers, prime factors, and factor trees in a clean, easy‑to‑use format – for homework, review, or independent math practice.
A blank factor tree template is also available so you can customize the numbers and create additional practice problems.
An answer key is included with each worksheet, but keep in mind that some numbers can be factored using different intermediate steps. Even if the factor trees look different, they will still lead to the same prime factors.
Worksheet 1 Worksheet 2Blank Factor Trees Template for Worksheets
If you plan to use the blank template, here are numbers that work well in the first row (numbers with exactly two prime factors). These are “familiar” values found in standard multiplication facts:
4, 6, 9, 10, 14, 15, 21, 22, 25, 33, 35, 49, 55, 77
Here are potential numbers for the second and third rows (numbers with exactly three prime factors). These are also “familiar” and appear within standard multiplication facts:
8, 12, 18, 20, 28, 30, 44, 45, 50, 63, 66, 70, 99
Blank Worksheet TemplateFor more practice or help with other pre-algebra topics, try our workbooks.
Related Worksheets
Rounding Numbers Worksheets – Hundreds Place and Thousands Place
Use these rounding numbers worksheets to practice rounding to the hundreds and thousands place. Each printable is organized into two sections. The first section is on rounding numbers to the nearest hundred, while the second is on rounding to the
Place Value Worksheets: Adding Tens and Ones
Build number sense with these place value worksheets, where students combine tens and ones in expanded form to write the correct 2‑digit number. Each worksheet helps students understand what each digit stands for and how a number is formed from
Place Value Worksheets: Adding Hundreds, Tens & Ones
Help students build number sense with these 3‑digit place value worksheets where students add hundreds, tens, and ones to create full numbers. This activity helps children practice expanded form, number building, and place value recognition – key skills for mastering
Place Value and Number Sense Word Problems (Grades 1–2)
This place value and number sense word problems worksheet is designed for Grades 1–2 and helps students build a strong understanding of how numbers work. The problems focus on tens and ones, reading and writing numbers, comparing values, and using
Rounding to the Nearest Ten Worksheets (3-Digit Numbers)
These worksheets give students plenty of practice with rounding to the nearest ten with 3‑digit numbers, helping them strengthen place‑value understanding. Each printable includes 30 problems with an answer key. These worksheets are ideal for classroom use, homework, or extra
Expanded Form Worksheets: Hundreds Place Value
Learn place value using these 3‑digit expanded form worksheets that focus on breaking numbers into hundreds, tens, and ones. Students practice decomposing numbers to show how each digit represents a specific value, strengthening their understanding of how multi‑digit numbers are