# Factors, Multiples and Prime Numbers

## Introduction to Factors, Multiples and Prime Numbers

We have so far seen how to recognize and conduct the basic operations of addition, subtraction, multiplication and division using numbers. These operations are merely the beginning. A mastery of these simply pave the way to more advanced, complicated and powerful operations along with one of the most interesting group of numbers.

## The Big Idea: What are Factors, Multiples and Prime Numbers?

Factors and multiples represent an evolution in the application of the basic operations. They help in carrying out more advanced calculations in an easier and more succinct manner.

### Multiples and Factors

Any number that features in the times table of a particular number is called its **Multiple**.

Any number that divides another number leaving a remainder of zero is called its **Factor**.

### Prime Numbers

When a number only has two factors, one and itself is called a **Prime Number**.

## How do I understand

### The Foundational Nature of Factors, Multiples and Prime Numbers

## Sub Topics

Here are a few links that will take you through the journey that every Cuemath students undertakes in the pursuit of understanding Factors, Multiples and Prime Numbers along with practice worksheets:

## How do You Teach Factors, Multiples and Prime Numbers to your child?

Like any other topic in arithmetic, the key to proper understanding is a strong grasp of the basics and practice. The most effective ways to ensure that your child excels with Factors, Multiples and Prime Numbers are:

**Chunking:** This is one of the most time tested and effective ways of mastering a topic. It involves building on your child’s understanding of foundational concepts that add up to contribute to the new topic. So, while they practice factors, multiples and primes, ask them to revisit their concepts of multiplication and division, just so that older mental models keep getting rejuvenated.

**Flash Cards:** These are an excellent way of keeping concepts at your fingertips. Dedicate thirty minutes of your child’s study routine to make them go through the concepts of factors, multiples and prime numbers. This exercise not only strengthens core concepts but also build mental math abilities.