- Prime numbers are numbers greater than 1 that have exactly two distinct positive divisors: 1 and themselves.
- To identify prime numbers from 1 to 100, systematically check each number starting from 2.
- Eliminate 1 because it is not a prime number (it has only one divisor).
- For each number from 2 to 100, test divisibility by all integers from 2 up to its square root. If any divide evenly, the number is composite.
- Alternatively, use the Sieve of Eratosthenes: start with 2, mark its multiples as composite; move to the next unmarked number and repeat until reaching √100 = 10.
- The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
- Verify your list by ensuring no even numbers except 2 are included, and no multiples of 3, 5, or 7 (except the primes themselves) are present.
- Check for mistakes by confirming each number in your list has exactly two factors and that no primes are missing.
Parent Tip: Review the logic above to help your child master the concept of prime numbers worksheet.
