How many prime numbers are there between 21 and 30?a)1b)2c)3d)4Correct...
Understanding Prime Numbers
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In simpler terms, a prime number can only be divided evenly by 1 and itself.
Identifying Prime Numbers Between 21 and 30
Let's explore the numbers between 21 and 30 to find the prime numbers:
- 21: Divisible by 1, 3, 7, and 21 (not prime).
- 22: Divisible by 1, 2, 11, and 22 (not prime).
- 23: Divisible only by 1 and 23 (prime).
- 24: Divisible by 1, 2, 3, 4, 6, 8, 12, and 24 (not prime).
- 25: Divisible by 1, 5, and 25 (not prime).
- 26: Divisible by 1, 2, 13, and 26 (not prime).
- 27: Divisible by 1, 3, 9, and 27 (not prime).
- 28: Divisible by 1, 2, 4, 7, 14, and 28 (not prime).
- 29: Divisible only by 1 and 29 (prime).
- 30: Divisible by 1, 2, 3, 5, 6, 10, 15, and 30 (not prime).
List of Prime Numbers Found
From this analysis, we find two prime numbers between 21 and 30:
- 23
- 29
Conclusion
Therefore, the number of prime numbers between 21 and 30 is 2, which corresponds to option 'B'.
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