# Math Tutorial 1.5 - Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF

There are 7 lessons in this math tutorial covering Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF. The tutorial starts with an introduction to Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What are multiples of a number?
• What are factors of a number?
• How to find the factors of a number?
• What are prime numbers? What do we call a number that is not prime?
• How to write a number as a product of prime factors?
• Why is the least common multiple of two or more numbers so important?
• Why is the greatest common factor of two or more numbers so important?
• How to calculate the least common multiple and greatest common factor of two or more numbers?
• How are these two concepts (LCM and GCF) applied in practice?

## Introduction

A store only sells forks in sets of 6 and not individually (single pieces). How many sets should you buy if 48 people are invited for dinner? What about if there were 78 people?

Can you buy exactly 33 forks in the above store? Why? What must you do in this example?

Sets of plates have 12 pieces. How many sets from each type (forks & plates) are needed for 48 people? Is there a smaller number in which every person invited has one fork and one plate?

This tutorial will focus on multiples and factors of a number as well as the common multiples and factors of two or more numbers. The thing that interests us most is the smallest of multiples and the greatest of factors as these two factors have a wide range of applications in practice.

In addition, we will explain prime numbers and how to write a number in prime factors.

Please select a specific "Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Arithmetic Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
1.5Multiples, Factors, Prime Numbers and Prime Factorization including LCM and GCF
Lesson IDMath Lesson TitleLessonVideo
Lesson
1.5.1What are Multiples of a Number? What are Factors?
1.5.2Finding the Factors of a Number Using the Tree Method
1.5.3Prime Numbers
1.5.4Prime Factorization
1.5.5Finding the Common Multiples of Two Numbers
1.5.6Finding the LCM of Two or More Numbers
1.5.7Greatest Common Factor, GCF

## Whats next?

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6. Continuing learning arithmetic - read our next math tutorial: Divisibility Rules