# Which is the least Prime number?

(A) 1

(B) 0

(C) 2

(D) 3

Last updated date: 20th Mar 2023

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Answer

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Hint- In order to find the least prime number, the number should be minimum and it should have only two factors 1 and the number itself.

Complete step-by-step answer:

Hence to find the least prime number from the given option, first make sure that the number that we are selecting should be a prime number and it should be minimum among them.

By definition a prime number is a Natural

For example, 5 is prime because the only ways of writing it as a product, 1 × 5 and 5 × 1, involve 5 itself. But, 4 is a composite number because it is a product (2 × 2) in which both numbers are smaller than 4 and the number is not involving itself.

We know that Natural numbers are 1,2,3,4,5,6,7,8,9,10……which is starting from 1.

Hence we can say that, 2 is least prime because the only ways of writing it as a product, 1 × 2 and 2 × 1, involve 2 itself.

Hence least Prime Number will be 2.

So from the given options, (C) will be correct.

Note-

Whenever it is asked to find the least prime number first of all find all the prime numbers from the given options and select the minimum one because A number n is considered prime when it has only two factors: 1 and n. So 1 has only 1 as it's factor but 2 has factors: 1 and 2, in which 2 is the number itself. So 2 is the least Prime number.

Complete step-by-step answer:

Hence to find the least prime number from the given option, first make sure that the number that we are selecting should be a prime number and it should be minimum among them.

By definition a prime number is a Natural

__number greater than 1 and it will not be a product of two smaller natural numbers. A natural number greater than 1 that is not prime then it will be a composite____number.__For example, 5 is prime because the only ways of writing it as a product, 1 × 5 and 5 × 1, involve 5 itself. But, 4 is a composite number because it is a product (2 × 2) in which both numbers are smaller than 4 and the number is not involving itself.

We know that Natural numbers are 1,2,3,4,5,6,7,8,9,10……which is starting from 1.

Hence we can say that, 2 is least prime because the only ways of writing it as a product, 1 × 2 and 2 × 1, involve 2 itself.

Hence least Prime Number will be 2.

So from the given options, (C) will be correct.

Note-

Whenever it is asked to find the least prime number first of all find all the prime numbers from the given options and select the minimum one because A number n is considered prime when it has only two factors: 1 and n. So 1 has only 1 as it's factor but 2 has factors: 1 and 2, in which 2 is the number itself. So 2 is the least Prime number.

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