How many prime number are there between 1 and 50 ?

Answer

To find how many prime numbers are there between 1 and 50, we can follow these steps:

### Step-by-Step Solution:

1. **Understand what a prime number is**: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This means it can only be divided evenly by 1 and the number itself.

2. **List the numbers from 1 to 50**: We will consider all the numbers from 1 to 50.

3. **Identify the prime numbers**:
- Start with the smallest prime number, which is 2.
- Continue checking each number to see if it is prime:
- 2: Prime
- 3: Prime
- 4: Not prime (divisible by 2)
- 5: Prime
- 6: Not prime (divisible by 2 and 3)
- 7: Prime
- 8: Not prime (divisible by 2)
- 9: Not prime (divisible by 3)
- 10: Not prime (divisible by 2)
- 11: Prime
- 12: Not prime (divisible by 2 and 3)
- 13: Prime
- 14: Not prime (divisible by 2)
- 15: Not prime (divisible by 3)
- 16: Not prime (divisible by 2)
- 17: Prime
- 18: Not prime (divisible by 2 and 3)
- 19: Prime
- 20: Not prime (divisible by 2)
- 21: Not prime (divisible by 3)
- 22: Not prime (divisible by 2)
- 23: Prime
- 24: Not prime (divisible by 2 and 3)
- 25: Not prime (divisible by 5)
- 26: Not prime (divisible by 2)
- 27: Not prime (divisible by 3)
- 28: Not prime (divisible by 2)
- 29: Prime
- 30: Not prime (divisible by 2 and 3)
- 31: Prime
- 32: Not prime (divisible by 2)
- 33: Not prime (divisible by 3)
- 34: Not prime (divisible by 2)
- 35: Not prime (divisible by 5)
- 36: Not prime (divisible by 2 and 3)
- 37: Prime
- 38: Not prime (divisible by 2)
- 39: Not prime (divisible by 3)
- 40: Not prime (divisible by 2)
- 41: Prime
- 42: Not prime (divisible by 2 and 3)
- 43: Prime
- 44: Not prime (divisible by 2)
- 45: Not prime (divisible by 3 and 5)
- 46: Not prime (divisible by 2)
- 47: Prime
- 48: Not prime (divisible by 2 and 3)
- 49: Not prime (divisible by 7)
- 50: Not prime (divisible by 2 and 5)

4. **Count the prime numbers**: The prime numbers identified between 1 and 50 are:
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

5. **Total count**: There are 15 prime numbers between 1 and 50.

### Final Answer:
There are **15 prime numbers** between 1 and 50.