Prime Numbers 1 to 20
2026-02-28 12:47 Diff

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Last updated on August 5, 2025

Prime numbers have only two factors: 1 and the number itself. They are used in cryptography, cyber-age security, computer algorithms, and more. This topic will teach us about prime numbers from 1 to 20.

Prime Numbers 1 to 20

The numbers which are only divisible by 1 and the number itself are the prime numbers. The prime numbers between 1 and 20 are 2, 3, 5, 7, 11, 13, 17, and 19.

Prime Numbers 1 to 20 Chart

The prime number chart is a list of prime numbers in order. This section will teach us about the prime numbers 1 to 20 chart.

List of All Prime Numbers 1 to 20

The prime numbers between 1 and 20 are the numbers which are only divisible by 1 and the number itself. The prime numbers are 2, 3, 5, 7, 11, 13, 17, and 19. 

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Prime Numbers - Odd Numbers

Expect 2 all the prime numbers are odd numbers, but all the odd numbers are not prime. The prime odd numbers between 1 and 20 are 3, 5, 7, 11, 13, 17, and 19. 

How to Identify Prime Numbers 1 to 20

Numbers are classified into two based on the divisibility that is prime and composite numbers. There are two ways to identify the prime numbers, that is -

  • By Divisibility Method
     
  • By Prime Factorization Method
     

By Divisibility Method

Prime numbers are only divisible by 1 and the number itself. So, in this method, we will check whether the number is divisible by any other number or not. The number is divided by the prime numbers till the square root of the number. If the number is divisible by any other prime number, then the number is not a prime number.  The number 15 is divisible by 3 and 5, so it is not a prime number. 

Prime Factorization Method

In this method, the number is broken down into smaller prime numbers. The numbers are divided by the smaller prime number. If the number only breaks into 1 and the number itself, then it is a prime number. The number 33 can be broken down into 3 × 11, so it is not a prime number. 

Rules for Identifying Prime Numbers 1 to 20

When talking about prime numbers, prime numbers should follow certain rules. In this section, we discuss the rules for identifying prime numbers. 

Rule 1: Divisibility Check

The numbers have only two factors: those are prime numbers. So in the divisibility check, we will see whether the number is divisible by the prime number till the square root of the number. 

Rule 2: Prime Factorization

Here, the number is written as the product of smaller prime numbers. If the number is a prime number, then the number cannot be broken into smaller prime numbers. So, prime factorization is only applicable for composite numbers. 

Rule 3: Sieve of Eratosthenes Method

In this method, we list all the multiples of the number from 1 to 10 to find whether the number is prime or not. The numbers from 1 to 100 (or till the number required) are listed in grids. We don't consider 1 as it. Then we list the cross of all the multiples of 2 that is 4, 6, 8, 10, 12, … and encircle 2 as it is a prime number. Encircle 3 as it is prime and cross all the multiples of 3 that are 6, 9, 15, 21, …. 

The process is continued till we encircle or cross all the numbers. Here the encircled are the prime numbers and the crossed are the prime numbers. 
 

Tips and Tricks for Prime Numbers 1 to 20

When learning prime numbers use these tips and tricks to master it. Here are a few tips and tricks

  • All the prime numbers are odd except 2. 
     
  • All the numbers ending in 0 are not prime numbers, because it is divisible by 2, 5 and 10. 
     
  • 5 is the only prime number that ends in 5, as other numbers ending in 5 or 0 are also divisible by 5
     
  •  Prime numbers cannot be broken down into smaller prime factors. So the prime factorization of any prime number is 11 × the given number1, that is prime factorization of 5 is 11 × 51
     

Common Mistakes and How to Avoid Them in Prime Numbers 1 to 20

Confusing prime and composite numbers is common among kids. So let’s discuss some common mistakes that students make when finding prime numbers from 1 to 20.

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Problem 1

Which is the largest prime number between 1 and 20?

Okay, lets begin

The largest prime number between 1 and 20 is 19.

Explanation

The prime numbers between 1 and 20 are 2, 3, 5, 7, 11, 13, 17, and 19.

So, the largest prime number from 1 to 20 is 19. 

Well explained 👍

Problem 2

Why is 15, not, a prime number?

Okay, lets begin

15 is not a prime number as it has more than 2 factors.

Explanation

The number 15 is not a prime number as it has more than two factors.

The factors of 15 are 1, 3, 5, and 15.

Well explained 👍

Problem 3

Is 19 a prime number or not?

Okay, lets begin

Yes, 19 is a prime number

Explanation

 The number 19 is only divisible by 1 and 19. So it is a prime number.

Well explained 👍

Problem 4

Which of the following is not a prime number? 59, 73, 19, 91, 67

Okay, lets begin

In the given number 91 is not a prime number

Explanation

The numbers 59, 73, 19, and 67 have only two factors.

Where 91 has more than two factors that is 1, 7, 13, and 91.

Well explained 👍

FAQs on Prime Numbers 1 to 20

1.How many prime numbers are in 1 to 20?

There are 8 prime numbers between 1 and 20. They are 2, 3, 5, 7, 11, 13, 17, and 19.

2.Why is 1 not a prime number?

1 is not a prime nor a composite number. As 1 has only 1 factor, that is 1.

3.Which is the largest prime number between 1 and 20.

The largest prime number from 1 to 20 is 19.

4.Which are the methods to find prime numbers?

There are two methods to find the prime numbers : divisibility method and prime factorization method. 

5.List the non-prime numbers between 1 and 20?

The non-prime number between 1 and 20 are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, and 20

Important Glossaries for Prime Numbers 1 to 20

  • Prime numbers: Any numbers which have only two factors are prime numbers. The factors of prime numbers are one and the number itself. For instance, 2, 3, 5, 7, …
     
  • Composite numbers: If a number has more than two factors they are composite. They are 4, 6, 8, 9,
  • Factors: Factors of a number are the numbers that can evenly divide the number. The factors of 10 are 1, 2, 5, and 10.  
     
  • Odd numbers: The numbers that leave a remainder when dividing the number by two are odd. A few odd numbers are 1, 3, 5, 7, 9, …
     
  •  Even number: The numbers that leave no remainder when divided by 2 are even numbers. The even numbers are 2, 4, 6, 8, 10, …

What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math

Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.