Question

Is \[121\] a prime number?

Answer 1

Hint: In the question we have to check whether \[121\] is a prime number or not. A prime number is a positive integer. Prime number is a number which has exactly two factors: one and the number itself. So, in order to solve this question, we will take the reference of the definition of prime numbers as the basis and check whether \[121\] satisfies the conditions for prime numbers or not. And hence, we get the required result.

Complete step by step answer:
We know that prime numbers are those numbers that have exactly two factors (one and itself). In other words, we can say a number which is not divisible by any number other than one and itself, is known as a prime number.
Also, we can define a primes number as an integer greater than one which is divisible by only one and itself.
Now, in the question, we have to check whether \[121\] is a prime number or not.
So, first of all let’s find the factors of \[121\]
As \[121\] can be written as \[11 \times 11\]
So, the factors of \[121\] are \[1,{\text{ 11}}\] and \[121\]
And as per the definition of prime number, a number greater than one with exactly two factors (one and itself) is defined as prime number.
But since \[121\] has three factors.
Therefore, it is not a prime number.
Hence, the given number, \[121\] is not a prime number.

Note:
 We should note that another method to find prime numbers is that a prime number can be written in the form of \[6n - 1\] or \[6n + 1\] . Here, remember \[n\] can be any number except the multiple of prime numbers.