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The smallest prime number greater than 4...

The smallest prime number greater than 48 is

A

49

B

50

C

51

D

53

Text Solution

AI Generated Solution

The correct Answer is:
To find the smallest prime number greater than 48, we can follow these steps: 1. **Understand what a prime number is**: A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has exactly two distinct positive divisors: 1 and itself. 2. **Start checking numbers greater than 48**: We will check each number greater than 48 to see if it is prime. 3. **Check 49**: - Divisors of 49: 1, 7, 49 (since 49 = 7 × 7). - Since 49 has divisors other than 1 and itself, it is not a prime number. 4. **Check 50**: - Divisors of 50: 1, 2, 5, 10, 25, 50 (since 50 = 2 × 25). - Since 50 has divisors other than 1 and itself, it is not a prime number. 5. **Check 51**: - Divisors of 51: 1, 3, 17, 51 (since 51 = 3 × 17). - Since 51 has divisors other than 1 and itself, it is not a prime number. 6. **Check 52**: - Divisors of 52: 1, 2, 4, 13, 26, 52 (since 52 = 2 × 26). - Since 52 has divisors other than 1 and itself, it is not a prime number. 7. **Check 53**: - Divisors of 53: 1, 53. - Since 53 has no divisors other than 1 and itself, it is a prime number. 8. **Conclusion**: The smallest prime number greater than 48 is 53. **Final Answer**: 53 ---
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