An Introduction to Factoring

Intro to Factoring in Math

An Introduction to Factoring

Hi, and welcome to this video lesson on factors.

Factors are super important to understanding how numbers are related, and most math tests will assume you understand these concepts, so let’s take a look.

The factors of a number are all integers by which the number can be divided.


Factors of 18: 1, 2, 3, 6, 9, 18.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Common factors are all factors that are shared by both
integers.
Common factors of 18 and 24 are: 1, 2, 3, and 6.
The greatest common factor is the greatest factor by which
18 and 24 can both be divided: 6.

Make sense? Try a couple of practice problems on your own.

Practice:


Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 56: 1, 2, 4, 8, 14, 28, 56
Common Factors of 32 and 56: 1, 2, 4, 8
Great Common Factor of 32 and 56: 8

Find the greatest common factor of 47 and 63


Factors of 47: 1, 47
Factors of 63: 1,3,7,9,21,63

This was kind of a trick question, since 47 is what we call a prime number, meaning the only factors it has are 1 and itself. Therefore, 1 will be the greatest common factor.

We’ll talk more about prime numbers and prime factorization in our next video.

Until then, however, happy studying.

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by Mometrix Test Preparation | Last Updated: August 15, 2019