Let's solve the worksheet step by step.
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Worksheet: Prime Numbers
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1. Circle all the prime numbers between 1 – 100
Prime Number Definition:
A
prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Step-by-step process to identify primes from 1 to 100:
We will go through each number and determine if it’s prime.
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1 → Not prime (by definition, not considered prime)
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2 → Prime (only divisible by 1 and 2)
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3 → Prime
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4 → Not prime (divisible by 2)
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5 → Prime
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6 → Not prime (divisible by 2, 3)
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7 → Prime
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8 → Not prime
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9 → Not prime (divisible by 3)
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10 → Not prime
Continue this pattern.
Here are the
prime numbers between 1 and 100:
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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
✔ So, you should
circle these numbers in the grid.
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2. Write three composite numbers which are greater than 100
Composite Number Definition:
A composite number is a positive integer greater than 1 that is
not prime, i.e., it has factors other than 1 and itself.
Examples of composite numbers > 100:
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102 → divisible by 2, 3, 6, etc.
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104 → divisible by 2, 4, 13
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105 → divisible by 3, 5, 7
✔ Any three such numbers work. For example:
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102, 104, 105
(Other valid answers: 106, 108, 110, 111, 112, etc.)
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3. Write two prime numbers which are greater than 100
We need prime numbers > 100.
Check some numbers:
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101 → Is it prime?
Check divisibility: not divisible by 2, 3, 5, 7 → yes,
101 is prime
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103 → also prime
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107 → prime
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109 → prime
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113 → prime
✔ Examples:
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101, 103
(Other valid answers: 107, 109, 113, etc.)
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✔ Final Answers:
1. Circle the following numbers:
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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
2. Three composite numbers > 100:
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102, 104, 105 *(or any others)*
3. Two prime numbers > 100:
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101, 103 *(or any others like 107, 109, etc.)*
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Let me know if you'd like a printable version or help understanding how to check if a number is prime!
Parent Tip: Review the logic above to help your child master the concept of prime numbers math worksheet.
