What if I enter a negative number?
The calculator uses the absolute value because prime factorizations are defined for positive integers. The sign can be reapplied afterward if needed.
Step-by-step walkthrough
Prime Factorization Guide
Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.
Before you start
Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.
- number theory
- prime
- factor
Detailed procedure
Step 1
Enter an integer greater than or equal to 2.
Step 2
The tool strips out factors of 2, then continues testing odd numbers until the value is reduced to 1.
Step 3
Review the ordered list of prime factors, count, and rebuilt value for validation.
Teaching & troubleshooting tips
Why does the factor list repeat primes?
Repeated primes show the multiplicity—or exponent—of each factor. For example, 360 includes 2 three times, so you can rewrite it as 2³ × 3² × 5.