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Answer: To find the average of the least and greatest prime number of two digit, we first identify the smallest and largest prime numbers within the two-digit range. The smallest two-digit prime number is 11. The largest two-digit prime number is 97. Now, we add the two numbers and divide the sum by 2. Thus, the average of the least and greatest prime number of 2 digits is 54. Thus, the correct answer is option A.
Complete Answer:
To solve the question, the average of the least and the greatest prime number of 2-digits is let us break down step by step using simple logic.
Step 1: Understand What Prime Numbers Are
A prime number is a natural number greater than 1 that has only two factors, 1 and itself. This means it cannot be divided evenly by any other number.
Step 2: List 2-Digit Prime Numbers
The range of 2-digit numbers starts from 10 to 99. So, we need to find the smallest and the largest prime number within this range.
The smallest 2-digit prime number is 11.
The largest 2-digit prime number is 97.
Step 3: Find the Average
To find the average of two numbers, you add them together and divide by 2.
Average= 11+97/ 2 = 108/2 = 54
So, the average of the least and the greatest prime number of 2-digit numbers is 54. Thus the correct option is A. 54.
What is a Prime Number?
A prime number is a number that has exactly two factors, 1 and itself. That means it can only be divided evenly by 1 and the number itself.
For example:
- 2 is a prime number because it can only be divided by 1 and 2.
- 3 is also prime since only 1 and 3 divide it without leaving a remainder.
- 5 is prime because only 1 and 5 work as its factors.
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