# Is 1 a Prime Number?

### Prime Number

A prime number is greater than 1, and its factor involves 1 and itself. Those numbers that do not fit into this definition can be regarded as Composite Numbers. Composite numbers are just contrary to the Prime number. ### Facts Related to Prime Numbers

Even Prime Number: It is interesting to note that 2 is the only even prime number, and a rest series is an odd number; therefore, it is referred to as an Odd Prime number.

Co-Prime Number: Two numbers can be regarded as a co-prime number if they have the highest common factor as 1. Co-Prime numbers and Prime numbers do not equal.

### Methods to Find Prime Numbers

Method 1

Each prime number can be expressed in the form of 6n + 1 and 6n - 1 (except the multiples of prime numbers 2, 3, 5, 7, 11 )

Method 2

To find the prime number, which is greater than 40, the formula which can be used:

n2 - n + 41

where n = 0, 1, 2, .... 39

example includes

1. x (0) + 0 + 0 = 41
2. x (1) + 1 + 41 = 43

Question: Is 1 a Prime Number?

Answer: The simple answer to the question is that No. 1 is neither a composite nor a Prime number. It is because 1 has a positive divisor as 1 and itself. Prime numbers have two positive divisors.

2 is the smallest prime number, filling the condition of being a prime number.

Question: If 1 is not a prime number, then what is 1 called?

Answer: There are various categories in which 1 comes in, and the following categories may be called:

• A whole number
• A natural number
• A Rational number
• An odd number
• A Positive number

Whole Number: Whole numbers consist of all the natural numbers and include zero. For example, 0, 1, 2, 3 ...

Natural Number: A number system begins from 1 and ends at infinity. Examples include 1, 2, 3, 4....

Rational number: Those numbers that can be presented in p/q form are called Rational numbers.

Positive Number: Those numbers are positive and greater than zero. They are sometimes represented with a + symbol. The positive number is represented on the right side of the number line. Even if no symbol is attached, it is perceived as a positive number.

Odd number: Numbers not divisible by two are categorized as odd numbers, and the algebraic expression used to express odd numbers is 2n + 1. Some examples of odd numbers include 1, 3, 5, 7, and 9 ....

Question: Why does 1 not come in the category of Composite Numbers?

Ans: The simple answer to this question is that it does not satisfy the definition of the composite number. A composite number contains more than 2 positive numbers. But the 1 contains only a factor, and it is itself. Therefore, 1 does not come in the category of a composite number.

### Facts Related to Prime Numbers

The polynomial n2 ? n+ 41 discovered by Euler gives a prime number for the values of n, which lies between 0 and 39 inclusive. It can produce 40 prime numbers for 0 < = n < = 39.

Quick Summary

Question 1. Is 1 a prime number?

Answer: No, it isn't a prime.

Question 2. Is 1 a composite number?

Answer: No, it isn't a composite number.

Question 3. Determine the factors of 1.

Answer: The factors of 1 contain 1, i.e., 1.

Similar Related Question

Question: Is 1 a perfect square?

Answer: Yes, 1 is a perfect square. It can be illustrated as 1 x 1 = 1.

Question: What are the multiples of 1?

Ans: Multiples of include 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. . .

Question: What is the cube root of 1?

Ans: The cube root of 1 is 1. It can be illustrated as

1 x 1 x 1 = 1.

Question: Is 1 a perfect cube?

Answer: Yes, 1 is a perfect cube.

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