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Which of the following is a prime number...

Which of the following is a prime number ?

A

11

B

22

C

33

D

44

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a prime number, we need to understand the definition of a prime number and then analyze each option accordingly. ### Step-by-Step Solution: 1. **Understand the Definition of a Prime Number**: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In simpler terms, a prime number has exactly two distinct positive divisors: 1 and itself. 2. **List Examples of Prime Numbers**: Some examples of prime numbers include: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc. 3. **Analyze Each Option**: Let's assume the options provided are: - Option A: 11 - Option B: 22 - Option C: 33 - Option D: 44 Now, we will check each option to see if it is prime. - **Option A: 11** - Divisors of 11: 1 and 11. - Since it has exactly two distinct divisors, **11 is a prime number**. - **Option B: 22** - Divisors of 22: 1, 2, 11, and 22. - Since it has more than two distinct divisors, **22 is not a prime number**. - **Option C: 33** - Divisors of 33: 1, 3, 11, and 33. - Since it has more than two distinct divisors, **33 is not a prime number**. - **Option D: 44** - Divisors of 44: 1, 2, 4, 11, 22, and 44. - Since it has more than two distinct divisors, **44 is not a prime number**. 4. **Conclusion**: After analyzing all the options, the only prime number among the given options is **11**. ### Final Answer: The prime number from the options is **11**.
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