Factor Tree Generator

How to use

1. 1Type any whole number from 2 up to 15 digits into the input. Commas, spaces, and underscores inside the number are ignored.
2. 2Tap a preset chip (12, 24, 36, 48, 60, 72, 96, 100, 120, 144, 360, 1024, 9973) to load a classic textbook example.
3. 3Read the prime factorization in exponent form and the expanded multiplication in the headline cards. Use the Copy buttons to grab either result.
4. 4Scroll the factor tree to see the visual diagram, with prime leaves shown in green and composites in gray. Tap Copy as text to grab an ASCII version for chat or notes.
5. 5Follow the numbered Step by step list to see each split written out: composite equals smallest prime times cofactor.
6. 6Check the stat cards for distinct prime count, total prime factors with multiplicity, divisor count, and divisor sum, then scan the full divisor chip list.
7. 7Tap Copy summary to grab a complete plain-text report (factorization, tree, stats) in one go.

About this tool

Factor Tree Generator turns any whole number from 2 up to 15 digits into the classic branching factor tree taught in elementary and middle-school math. At each composite node the tool pulls out the smallest prime factor on the left branch and the remaining cofactor on the right branch, then recurses on the cofactor until every leaf is a prime. The output panel shows the visual tree drawn as an SVG (composites in gray, prime leaves highlighted in green), the prime factorization in exponent form with real superscripts (so 360 reads as 2 to the 3rd times 3 to the 2nd times 5), the expanded multiplication form (2 times 2 times 2 times 3 times 3 times 5), and a numbered step list mirroring the splits in the tree. Four stat cards report the count of distinct prime factors, the total prime factor count with multiplicity (Big Omega), the number of divisors (the tau function), and the sum of all divisors (the sigma function), with the full sorted divisor list shown as chips. A plain-text summary, an ASCII version of the tree for chat and notes, and copy buttons on every result make it easy to paste working into a homework document. Useful for students learning prime factorization, parents helping with homework, teachers building worked examples, and anyone who wants to double-check the factorization of a specific number. All arithmetic uses BigInt so the math is exact at every digit, and everything runs locally in your browser: the number you type is never uploaded.

Free to use. Works in your browser. No signup, no login.