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Last updated on November 30th, 2024

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Is 1 A Prime Number?

Professor Greenline Explaining Math Concepts

A number is Prime if it is to be divided either by 1 or the number itself. Prime numbers are used in cybersecurity or for algorithmic purposes. Let us learn here whether 1 is a prime number or not.

Is 1 A Prime Number? for US Students
Professor Greenline from BrightChamps

Is 1 a prime number?

There are 2 types of numbers - 

 

  • Prime numbers

 

  • Composite Numbers

 

Here, the number itself is the factor of 1, we can see that from the prime factorization method. A number needs to have at least two factors for it to be regarded as prime; this one only has one factor. So it can't be prime.

 

is 1 a prime number

 

Professor Greenline from BrightChamps

Why is 1 not a prime number?

A number needs to satisfy 2 requirements to be prime.

The number should have only 2 divisors: 1 and the number itself .

 

  • A number is a factor of only 2 numbers.

 

  •    If all these above conditions are satisfied then only the numbers are taken as prime

 

To check for prime numbers, different methods are adopted -

 

  • Divisor Counting Method

 

  • Test for Divisibility

 

  • Table for Prime Numbers

 

  • Prime Factorization
     
Professor Greenline from BrightChamps

Using the Counting Divisors Method

Here, we will count the number of divisors a number has to check if it is a prime number. Now, let's look whether number 1 satisfies all conditions when we apply this.


Divisor of 1=1 


Number of divisors=1 


Hence, we can say 1 is not a prime number.
 

Professor Greenline from BrightChamps

Using the Divisibility Test Method

In this method, we will check whether the number is divisible by other numbers except 1 and the number itself. Let us check if the number 1 is divisible by 2,3,4,5 and 7. 

 

  • To check whether a number is divisible by 2, the number should end with an even number. Here 1 is an odd number. So it is not divisible by 2.

 

  • We say a number is divisible by 3, if the sum of the digits for that number is a multiple of that number. Here, 1 is not a multiple of 3. We can say 1 is not divisible by 3.

 

  • If the last two digits form a multiple of 4, the number is divisible by 4. Here, 1 ends with 1, which is not a multiple of 4. So, it is impossible to be divisible by 4.

 

  • The number should end up with either 5 or 0 to divide by 5, and 1 does not end up with 5 or 0. Thus, it is inadmissible.

 

  • Since 1 is less than 7, we can say that 1 cannot be divided by 7. The numbers in the above cannot be divided into 1. Only 1 can be divided into only 1. So, the number cannot be counted as prime number.
     
Professor Greenline from BrightChamps

Using Prime Number Chart

In this method we have to write down all the prime numbers that arise between 1 and 100. If any number arises in this list, then it is a prime number. The prime numbers between 1 and 100. 
 

 

 

 

Professor Greenline from BrightChamps

Using the Prime Factorization Method

Applying this method, we break the large numbers into small numbers to check the factors. This method is applicable only for composite numbers.


If we apply the above procedure we note for the number 1, only one factor is 1. So number 1 cannot be a prime number.
 

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Determining if 1 is a Prime Number

Ray Thinking Deeply About Math Problems

FAQs For “If 1 Is A Prime Number?”

1.What is so special about number 1?

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2.When was the number 1 declared not to be a prime number?

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3.Is number 1 odd or even?

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4.What is the smallest positive integer?

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5.Why isn't number 1 a prime number and not a composite as well?

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6.How can children in United States use numbers in everyday life to understand Is 1 A Prime Number??

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7.What are some fun ways kids in United States can practice Is 1 A Prime Number? with numbers?

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8.What role do numbers and Is 1 A Prime Number? play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Is 1 A Prime Number? skills?

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Professor Greenline from BrightChamps

Important Glossaries for "Is 1 a Prime Number"

  • Factor: A number that divides another number exactly and leaves no remainder.

 

  • Divisor: A number by which another number is divided is called divisor.

 

  • Composite number: If the number of factors for the given number is above 2, then that number is a composite number.

 

  • Natural Number: All the positive numbers from 1 towards infinity are natural numbers.
Professor Greenline from BrightChamps

About BrightChamps in United States

At BrightChamps, we know numbers are more than just digits—it’s a way to open doors to countless opportunities! Our mission is to help kids all across the United States grasp important math skills, like today’s focus on the Is 1 A Prime Number? with a special focus on understanding prime numbers—in a way that’s lively, enjoyable, and easy to follow. Whether your child is figuring out how fast a roller coaster speeds through Disney World, keeping track of scores at a Little League baseball game, or managing their allowance to buy the latest gadgets, mastering numbers gives them the confidence they need for everyday challenges. Our interactive lessons make learning both simple and fun. Because kids in the USA learn in many different ways, we tailor our approach to fit each child’s unique style. From the bustling streets of New York City to the sunny shores of California, BrightChamps brings math to life, making it relatable and exciting throughout America. Let’s make prime numbers a fun part of every child’s math journey!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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