# Prime Numbers – The Originals of the Number World

Do you know why prime numbers are known as ‘the Originals of the Number World’? This is because whatever these numbers start with, first they start with themselves. Prime numbers do not have any factors, except themselves acting as factors for themselves. Thus, these numbers are very much original and known as the ‘Originals’.

Now, how would you define ‘prime numbers’? These are quite interesting sets of numbers, they can be only divisible by 1 and the prime number itself.

## Study the Prime Numbers and Know Its Properties

Prime numbers are the positive integers that have precisely two factors – 1 and the prime number itself.

Suppose ‘x’ is a prime number, the only two factors of ‘x’ will be 1 and x.

## What are the Properties of Prime Numbers?

The properties of prime numbers are

• The number that is any way greater than 1 can be divided by any prime number.
• All even positive numbers which are greater than 2 can be the summation of two prime numbers.
• Other than number 2, all other prime numbers are actually odd prime numbers.
• Any two prime numbers act as coprime to each other.
• Each of the composite numbers can be readily factored into prime numbers and also all these numbers are different and unique.

## Presenting the List of Prime Numbers 1 to 100

Let us check the list of prime numbers between 1 to 100:

• 2
• 3
• 5
• 7
• 11
• 13
• 17
• 19
• 23
• 29
• 31
• 37
• 41
• 43
• 47
• 53
• 59
• 61
• 67
• 71
• 73
• 79
• 83
• 89
• 97

### Playing with Prime Numbers

How to play with prime numbers? Playing with prime numbers will help you study and grasp the prime numbers effectively and at a faster speed.

### How to play?

You can create 100 boxes, in each box write the numbers starting from 1 100. Now colour the prime number’s box in yellow colour.

### How will it help in learning?

It will help you identify the prime numbers from 1 to 100. While revising you can go through this sheet and you can revise the prime numbers colored in yellow in one glance!

## Algebraic Expressions

In algebraic expressions, the first thing we learn is how to express an unknown value with the help of alphabetical letters like a,b, and c. The basics of algebra are to express the mathematical equation with the help of letters rather than their actual values. These expressed letters in an algebraic expression are called the ‘variables’ in the equation.

An algebraic expression consists of the combination of both variables and constants. Any sort of value which is being multiplied with the variable is the coefficient.

## Types of Algebraic Expressions

There are 3 types of algebraic expressions, are

1. Monomial expression.
2. Binomial expression
3. Polynomial expression

Let us know about the three expressions in brief.

1. Monomial Expression – These monomial expressions consist of only a single term. Examples of a monomial expression are 5×4, 8×9, etc.
2. Binomial Expression – This binomial expression is the algebraic term that has two terms like 8xy, 9yz, etc.
3. Polynomial Expression – The expression with more than a single term with positive integers in a variable is called the polynomial. Examples are – ab + bc + 2x.

The lessons we learned here consist of two mathematical topics. One is a basic topic related to prime numbers and the other one is an upgraded topic where we understood the algebraic expressions. We have known the concept of heart-to-heart and also have studied the examples and facts which are related to the understanding.