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
Expanded Form Worksheets: Thousands Place Value
Use these 4‑digit expanded form worksheets for practice breaking apart numbers into thousands, hundreds, tens, and ones. By writing numbers in expanded form, students strengthen their place value reasoning and develop a solid foundation for future math skills. These printable
Rounding Decimal Numbers Worksheets – Nearest Tenth and Nearest Hundredth
Practice with rounding decimal numbers using these free printable math worksheets. Each page focuses on identifying the tenths place and hundredths place and rounding decimals to the nearest tenth and nearest hundredth. These worksheets reinforce essential place value skills and
Rounding to the Nearest Ten Worksheets (2-Digit Numbers)
These worksheets provide practice with rounding numbers to the nearest ten, helping students apply standard rounding rules and strengthen their place‑value understanding. Each rounding worksheet includes 30 problems with 2-digit numbers, offering plenty of practice for classroom, homework, or homeschool.
Place Value Worksheets: Thousands, Hundreds, Tens & Ones
Strengthen students’ number sense with these 4‑digit place value worksheets, designed to help children build numbers using thousands, hundreds, tens, and ones. Students practice composing numbers, writing expanded form, and recognizing the value of each digit – essential foundations for
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
Expanded Form Worksheets – Fill‑in‑the‑Blank Hundreds Place Practice
Practice place value with these hundreds‑place expanded form worksheets, designed to help students break apart 3‑digit numbers into hundreds, tens, and ones. Each problem includes a partially completed expanded‑form equation, and learners must supply the missing value to show how