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