Which of the following is the smallest prime number? (a) 1 (b) 2 (c) 4 (d) 6

By Ritesh|Updated : November 7th, 2022

2 is the smallest prime number. The number one is neither a prime nor a composite number. With just one element, it is a singular number.

Factors of 2 = 1, 2

Therefore, 2 is the smallest prime number.

Factors of 4 = 1, 2, and 4

Factors of 6 = 1, 2, 3, and 6

These are composite numbers with more than two elements.

Prime Numbers

A positive integer with exactly two elements, namely 1 and the number itself, is referred to as a prime number. A different definition of it is an integer or positive number that is not the sum of any other two positive integers save 1 and the number itself. If p is a prime, then 1 and p by itself are required to be its only factors. A composite number is any number that does not fall into this category and may be factored into other positive integers.

Properties of Prime Numbers

The following is a list of some prime number characteristics:

  1. Every number greater than 1 has at least one prime number that it can be divided by.
  2. The sum of two prime numbers can be used to represent any even positive integer bigger than 2.
  3. All prime numbers other than 2 are odd. In other words, the only even prime number is 2, which is what we can assert.
  4. Coprime relationships between two prime numbers are constant.
  5. The prime factors that can be found for each composite number are all distinct in their own right.

Summary:

Which of the following is the smallest prime number? (a) 1 (b) 2(c) 4 (d) 6

2 is the smallest prime number. A prime number is a positive integer that has exactly two components, 1 and the number itself. Every number which is greater than 1 and has at least one prime number by which it can be divided.

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