Question

Identify the smallest two-digit prime number
A. $ 10 $
B. $ 11 $
C. $ 13 $
D. $ 17 $

Answer 1

Hint: A prime number can be well defined as the positive number which is having exactly two factors. Let us assume that if “n” is the prime number then it has only two factors that is the number itself “n” and the number here, we will find the prime numbers for the smallest two digit number.

Complete step-by-step answer:
Smallest two digit prime number is $ 10 $
Factors of $ 10 $ are $ 1,2,5,10 $
But the number is a composite number since it has more than two factors.
Now, the next smallest two digit prime number is $ 11 $
Factors of $ 11 $ are $ 1,11 $
Since, $ 11 $ has only two factors and therefore is the smallest prime number.
Hence, from the given multiple choices option B is the correct answer.
So, the correct answer is “Option B”.

Note: Remember the terminology and difference between the prime numbers and the composite numbers. Composite numbers are the numbers which are expressed as the product of prime numbers and it has more than two factors.