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Explain factoring with a factor tree

This math skill teaches how to perform factoring using a factor tree, a method where a number is broken down into its prime factors systematically. Starting from the number, each split represents its factors until only prime numbers are left at the bottom.

Learn explain factoring with a factor tree

Teaching Transcript

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Let's look at what a factor tree means

Each pair multiplies to the number above it

So, at the bottom, 3 times 3 equals 9, and 2 times 2 equals 4

Then in the middle row, 9 times 4 equals 36

If you start from 36, and create this factor tree, the final factors are the ones that cannot be split any further. The prime factorization of 36 is 3 times 3 times 2 times 2

Skill Practice

Explain factoring with a factor tree

Test your understanding of explain factoring with a factor tree by practicing it! Work through the below exercises to use it in practice.