Question

Which of the following is the factor of all prime numbers?
a) \[1\]
b) \[2\]
c) \[3\]
d) \[4\]

Answer 1

Hint: To solve this question, we will use the concept of prime numbers. A prime number is a natural number greater than one that is not a product of two smaller natural numbers. The property of being prime is called primality.

Complete answer:
We know, a prime number is a natural number greater than one that is not a product of two smaller natural numbers. This means that there are only two factors of a prime number. One of the factors is \[1\] and the other is the number itself. Hence, \[1\] is the factor of all prime numbers.

Therefore, the correct option is A

Additional details:
A natural number greater than 1 that is not prime is called a composite number.
\[n\] is prime if \[n\] items cannot be divided up into smaller equal-size groups of more than one item, or if it is not possible to arrange \[n\] dots into a rectangular grid that is more than one dot wide and more than one dot high. For example, among the numbers 1 through 6, the numbers 2, 3, and 5 are the prime numbers, as there are no other numbers that divide them evenly (without a remainder).

Note: One thing to note is that the smallest prime number is \[2\] and not \[1\]. Another important point to note is that like even and odd numbers occur after a certain interval there is no such property or formula by which we can guess the occurrence of prime numbers.