Prime numbers worksheet - Free Printable

I need to identify and circle all the prime numbers from 2 to 100 in this worksheet. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Let me go through each number in the grid systematically and determine which ones are prime.

First, I'll look at the first row: 18, 47, 33, 82, 69.
- 18: Divisible by 2, 3, 6, 9 → Not prime
- 47: Only divisible by 1 and 47 → Prime
- 33: Divisible by 3 and 11 → Not prime
- 82: Divisible by 2 and 41 → Not prime
- 69: Divisible by 3 and 23 → Not prime

Second row: 97, 21, 55, 95, 23.
- 97: Only divisible by 1 and 97 → Prime
- 21: Divisible by 3 and 7 → Not prime
- 55: Divisible by 5 and 11 → Not prime
- 95: Divisible by 5 and 19 → Not prime
- 23: Only divisible by 1 and 23 → Prime

Third row: 74, 73, 72, 71, 70.
- 74: Divisible by 2 and 37 → Not prime
- 73: Only divisible by 1 and 73 → Prime
- 72: Divisible by 2, 3, 4, 6, 8, 9, 12, etc. → Not prime
- 71: Only divisible by 1 and 71 → Prime
- 70: Divisible by 2, 5, 7, 10, 14, 35 → Not prime

Fourth row: 7, 17, 27, 37, 47.
- 7: Only divisible by 1 and 7 → Prime
- 17: Only divisible by 1 and 17 → Prime
- 27: Divisible by 3 and 9 → Not prime
- 37: Only divisible by 1 and 37 → Prime
- 47: Already identified as prime

Fifth row: 57, 67, 77, 87, 97.
- 57: Divisible by 3 and 19 → Not prime
- 67: Only divisible by 1 and 67 → Prime
- 77: Divisible by 7 and 11 → Not prime
- 87: Divisible by 3 and 29 → Not prime
- 97: Already identified as prime

Sixth row: 56, 75, 63, 36, 93.
- 56: Divisible by 2, 4, 7, 8, 14, 28 → Not prime
- 75: Divisible by 3, 5, 15, 25 → Not prime
- 63: Divisible by 3, 7, 9, 21 → Not prime
- 36: Divisible by 2, 3, 4, 6, 9, 12, 18 → Not prime
- 93: Divisible by 3 and 31 → Not prime

Seventh row: 89, 98, 100, 2, 99.
- 89: Only divisible by 1 and 89 → Prime
- 98: Divisible by 2, 7, 14, 49 → Not prime
- 100: Divisible by 2, 4, 5, 10, 20, 25, 50 → Not prime
- 2: Only divisible by 1 and 2 → Prime (the only even prime)
- 99: Divisible by 3, 9, 11, 33 → Not prime

Eighth row: 91, 81, 71, 61, 52.
- 91: Divisible by 7 and 13 → Not prime
- 81: Divisible by 3, 9, 27 → Not prime
- 71: Already identified as prime
- 61: Only divisible by 1 and 61 → Prime
- 52: Divisible by 2, 4, 13, 26 → Not prime

The prime numbers in this worksheet are: 47, 97, 23, 73, 71, 7, 17, 37, 67, 89, 2, and 61.

To solve this problem, I would circle these numbers on the worksheet. The solution requires identifying each number's divisibility and selecting only those that have exactly two distinct positive divisors: 1 and the number itself.