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Which is the least Prime number?
(A) 1
(B) 0
(C) 2
(D) 3

Last updated date: 24th Feb 2024
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IVSAT 2024
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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 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.
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.