It is believed that good things come in pairs.

The number 2 represents 2 units or a pair.

The binary number system, also known as a base-2 system, is the foundation of all the coding and technology.

We know that the human body has a great connection with the number '2'. We have 2 eyes, 2 ears, 2 hands, and so on.

Now, let's learn some math behind this number. Let's find out if 2 a prime number.

**Lesson Plan**

**What Is a Prime Number?**

**Definition**

A prime number is a natural number that has no factors other than 1 and itself.

In other words, it is divisible only by 1 and itself.

Example: 2,3,5,7,11 and so on.

**Is 2 a Prime Number?**

Let us look at the factors of 2

The factors of 2 are 1 and 2, that is, no other factors other than 1 and itself.

So, 2 is a prime number.

Considering the above explanation, is 3 a prime number?

Let's find out!

The factors of 3 are 1 and 3, that is, no other factors other than 1 and itself.

So, 3 is a prime number.

**Is 2 a Composite Number?**

2 is not a composite number as it cannot be written as a product of two natural numbers other than 1 and itself.

2 is the only even prime number.

All even numbers are composite, except 2

- 2 is the smallest prime number and it is the only even prime number.
- '1' is neither a prime number nor a composite number.

**Solved Examples**

Example 1 |

Kate says "All odd numbers are prime numbers."

Do you agree with her? Explain with a suitable example.

**Solution**

All odd numbers are not prime numbers.

Let us take the example of 9.

Even though 9 is an odd number, it has 1, 3, and 9 as its factors.

So, it is a composite number.

A few other examples of odd composite numbers are 15, 21, 27, and so on.

Kate's statement is not true. |

Example 2 |

List the first ten prime numbers.

**Solution**

Using divisibility rules, we can list the first ten prime numbers as:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29 |

- Find three different prime numbers which when added together give the sum as 40

**Interactive Questions**

**Here are a few activities for you to practice.**

**Select/Type your answer and click the "Check Answer" button to see the result.**

**Let's Summarize**

The mini-lesson targeted the fascinating concept of 'is 2 a prime number'. The math journey around 'is 2 a prime number' starts with what a student already knows, and goes on to creatively crafting a fresh concept in the young minds. Done in a way that not only it is relatable and easy to grasp, but also will stay with them forever. Here lies the magic with Cuemath.

**About Cuemath**

At Cuemath, our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic.

Be it worksheets, online classes, doubt sessions, or any other form of relation, it’s the logical thinking and smart learning approach that we, at Cuemath, believe in.

**Frequently Asked Questions (FAQs)**

## 1. What are co-primes?

Two numbers are said to be co-prime if they do not have any common factors except 1

For example: (2,5), (2,9), (9,16) are co-primes.

The factors of 16 can be listed as 1, 2, 4, 8, 16, and the factors of 9 are 1, 3, 9

16 and 9 do not have any common factors except 1. So, they are co-primes.

## 2. Are 2 and 3 twin primes?

No, 2 and 3 are not twin primes.

Pairs of primes that differ by two and have a composite number in between them are called twin primes.

For example: (3,5), (5,7), (11,13), and so on.

## 3. What is 1 called if it is not prime?

1 is neither prime nor composite.

It is the smallest natural number.