How many prime numbers are there from 10 to 50?

Steps to Solve

1. Identify the range of interest
   We need to find prime numbers between 10 and 50.

2. List the prime numbers
   A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Let's identify the prime numbers between 10 and 50:

   • Starting from 10, we check each number:
     • 11 (prime)
     • 12 (not prime)
     • 13 (prime)
     • 14 (not prime)
     • 15 (not prime)
     • 16 (not prime)
     • 17 (prime)
     • 18 (not prime)
     • 19 (prime)
     • 20 (not prime)
     • 21 (not prime)
     • 22 (not prime)
     • 23 (prime)
     • 24 (not prime)
     • 25 (not prime)
     • 26 (not prime)
     • 27 (not prime)
     • 28 (not prime)
     • 29 (prime)
     • 30 (not prime)
     • 31 (prime)
     • 32 (not prime)
     • 33 (not prime)
     • 34 (not prime)
     • 35 (not prime)
     • 36 (not prime)
     • 37 (prime)
     • 38 (not prime)
     • 39 (not prime)
     • 40 (not prime)
     • 41 (prime)
     • 42 (not prime)
     • 43 (prime)
     • 44 (not prime)
     • 45 (not prime)
     • 46 (not prime)
     • 47 (prime)
     • 48 (not prime)
     • 49 (not prime)
     • 50 (not prime)

3. Count the prime numbers
   Now, we list the prime numbers found:
   $$ 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 $$
   Counting these gives us 11 prime numbers.