Generating Factors Using Prime Numbers

& The Fundamental Theorem of Arithmetic

Brett Berry
Nov 12, 2015 · 3 min read

Example: Find All Factors of 72

Begin by drawing the factor tree for 72, circling primes as you go.

The Fundamental Theorem of Arithmetic

I should note that this idea that every number greater than 1 is either prime or capable of being rewritten as a product of prime numbers is a very important concept known as the Fundamental Theorem of Arithmetic.

Generating Factors of 72

By finding all combinations of these numbers we’ll generate all of the factors. I can begin by grouping one of the 2’s by itself and the rest of the numbers together to get the first pair of factors: 2, 36.


Math Hacks

Tutorials with a fresh perspective.

Brett Berry

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Check out my YouTube channel “Math Hacks” for hands-on math tutorials and lots of math love ♥️

Math Hacks

Tutorials with a fresh perspective.