Prime Number Worksheet
Prime Number (Yes) & Composite Number (No)
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Answer
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How To Solve Prime Numbers
Example: 17 = ?
Solve By Steps
1. Understand What a Prime Number Is:
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A prime number is a number greater than 1 that has exactly two divisors: 1 and itself.
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Examples of prime numbers: 2, 3, 5, 7, 11, 13, etc.
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Important Note: The number 2 is the only even prime number because all other even numbers can be divided by 2.
2. Understand What a Composite Number Is:
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A composite number is a number greater than 1 that has more than two divisors. In other words, it can be divided by numbers other than 1 and itself.
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Examples of composite numbers: 4, 6, 8, 9, 12, 15, etc.
3. Check if a Number Is Prime or Composite:
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To determine if a number is prime or composite, follow these steps:
Step 1: Start with the Smallest Primes
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Remember the first few prime numbers: 2, 3, 5, 7, 11, etc.
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If the number you’re testing is one of these, it’s prime.
Step 2: Test for Divisibility:
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To see if a number is composite, check if it can be divided evenly (without a remainder) by any number other than 1 and itself.
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Example: Is 17 prime or composite?
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Try dividing 17 by 2, 3, 4, etc., up to the square root of 17 (which is about 4.1).
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Since 17 can’t be divided evenly by any of these, it is prime.
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Step 3: Identify If the Number Is Composite:
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If the number can be divided evenly by any other number (besides 1 and itself), then it’s composite.
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Example: Is 18 prime or composite?
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18 can be divided evenly by 2, 3, 6, and 9 (in addition to 1 and 18), so 18 is composite.
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4. Special Cases:
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1 is neither prime nor composite. It’s a unique number that doesn’t fit into either category.
Final Answer: Yes