• Written By Vaibhav_Raj_Asthana
  • Last Modified 25-01-2023

Is 1 A Prime Number? Prime and Composite Number

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Is 1 a Prime Number? How can you tell whether a number is prime or composite? Let’s start by defining what constitutes a number ‘prime.’ A prime number is an integer higher than one with just one and itself as components. 

Composite numbers are those that have more than two components. The number one is neither composite nor prime. Let us study in detail about 1 as a prime number with examples.

Is 1 a Prime Number?

The answer to the question ‘why 1 is not a prime number’ lies in the definition of prime numbers i.e. is “The numbers other than 1 whose only factors are 1 and the number itself are called Prime Numbers“. Therefore we can state the fact that 1 is not a prime number.

So the next question that might pop in your mind is if 1 is not a prime number then which is the smallest prime number and the answer is 2. Two is considered as the smallest prime number because it satisfies the condition of a prime number.

Why Isn’t 1 A Prime Number?

This is another question that you might think of because now that you know that 1 is not a prime number so it may be composite. But the answer to this question is also No because composite numbers are those which have 2 or more than 2 factors and 1 has a single factor only.

What is 1 Called if Not a Prime Number?

Now that we have explained that 1 is neither prime nor composite we will help you know what 1 can be called. Here is the list of number types or categories in which 1 falls:

  • i) A natural number
  • ii) An odd number
  • iii) A rational number
  • iv) A positive integer
  • v) A whole number

You can refer to 1 as any of the following given above.

List of Prime Numbers from 1 to 100

Here is a list of prime number between 1 to 100:

Prime Number 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,

Summary

From the above explanations we can summarise that:

Is 1 prime?No, it is not prime.
Is 1 composite?No, it is not composite.
What are the factors of 1?There is only one factor of 1 i.e. 1.

FAQs

Here are some questions that are mostly searched on the topic:

Que. Is 1 a prime number Yes or No?
Ans.
No, it is not a prime number.
Que. Is 2 a prime number?
Ans.
Yes, 2 is a prime number because it satisfies the condition for being prime.
Que. Is 0 and 1 a prime number?
Ans.
No, Both 0 and 1 are not prime.
Que. Why 1 is not a prime number?
Ans.
1 is not prime because it does not satisfy the condition fro being prime.

Practice Prime Number Questions with Hints & Solutions