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
✔ These are the numbers you should
circle on 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, 8, etc.
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105 → Divisible by 3, 5, 7
✔ Any three such numbers work. For example:
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102, 104, 105
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3. Write two prime numbers which are greater than 100
Find two prime numbers > 100.
Check:
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101 → Only divisible by 1 and 101 →
✔ Prime
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103 → Only divisible by 1 and 103 →
✔ Prime
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107 → Also prime
✔ So, two examples:
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101, 103
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✔ Final Answers:
1. Circle these prime numbers from 1–100:
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:
102, 104, 105 *(any valid answer is acceptable)*
3. Two prime numbers > 100:
101, 103 *(or 107, 109, etc.)*
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Let me know if you'd like a visual version of the circled numbers or help with checking more numbers!
Parent Tip: Review the logic above to help your child master the concept of prime number worksheet pdf.
