Factor Trees Worksheets

About this resource

Split a number, split its factors, stop when every end is prime. This is a set of factor tree sheets for grades 4 and 5: big round boxes to type in or write in, trees that start small and grow to numbers up to 100, and cut-and-glue sheets for children who need to move pieces. It is a fillable PDF, built with no prep beyond printing and cutting.

What Is Included

• 5 learn-and-sort sheets: the parts of a factor tree with a worked tree for 36, 6 guided trees with the first split already there, 2 prime or composite sheets (8 numbers to 30, 8 numbers to 100, with a factor pair to show why), and a 1 to 100 chart to color the primes.
• 5 blank-tree sheets: 20 blank trees to finish on the first four (26 counting the guided trees on page 5), growing from numbers to 30 to numbers to 50 to numbers to 100, each with a prime factorization line, one sheet that adds exponents, and one sheet where children color the prime ends and decide if the tree is done.
• 5 cut-and-glue sheets: 2 sheets to glue the missing primes into trees, 1 sheet to glue each prime factorization by its finished tree, and 2 sheets of 6 cut-out trees to finish, cut out and hang as a class Factor Forest. 30 cut pieces in all.
• 2 grow-your-own sheets: pick a number from 10 to 30 and grow two trees of your own (two levels of boxes, use the ones you need), and write 4 prime factorizations with exponents.
• 3 puzzle sheets: grow the tree up from its primes to the top number, 4 number riddles and a spot-the-mistake sheet with 4 trees.
• Teacher pages: Start Here with a which-sheet-when table, 2 answer keys, a tracker with a roll-up, a filled example (an invented student), a family page, a What's Next page, terms of use and a thank-you page.

How To Use It

1. Pick a section from the Start Here sheet and print what you need.

2. Hand it over. Each sheet has a big "My name" line, one short direction with a picture, and room to work. A small shape in the corner tells you the level: a circle (6 sheets) is starting, a square (8 sheets) is building, a triangle (5 sheets) is ready for more.

3. Check with the answer key, then color a box on the tracker for each right answer.

4. For a class display, print the two cut-out tree sheets, let each child finish and cut out a tree, and hang them together as a Factor Forest.

Built For The Child Holding The Page

Boxes are big and round, numbers are in a clear rounded font, and the cutting sheets put the pieces edge to edge so each cut is one straight line. Every cutting sheet has at least 5 pieces. Every sheet reads in black and white too.

Type In, Or Print

The name lines, every tree box and every answer box are type-in fields in any PDF reader. You can also print any sheet and write by hand. Print at 100 percent with fit-to-page turned off. This is a fillable PDF for printing and typing; it is not a slide or word processor file.

Who This Is For

Teachers of grades 4 and 5, resource rooms and self-contained classrooms who want factor trees children can finish, check and build on.

What This Is, And What It Is Not

Working paper for factor pairs, prime and composite numbers and prime factorization. It is not a full math curriculum, an assessment or a therapy program, and it makes no health claims. Your school decides what a child should be able to do and when.

More For Your Math Block

Pair it with the live Factors and Multiples Anchor Chart and Prime and Composite Anchor Chart from Bright Path Sped, which put the words on your wall.