Prime and Composite Numbers Worksheets - Free Printable

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In the meantime, based on the visible text in your message, it looks like the worksheet is about identifying prime and composite numbers. Let me break down how to solve each part:

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A) Circle all the Prime numbers:

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves.

List:
`13, 54, 37, 96, 89, 45, 61, 29, 2, 10, 69, 36, 53, 47, 41, 79, 73, 5, 97, 27, 84`

Let’s identify the primes:
- 13 → prime
- 54 → composite (even)
- 37 → prime
- 96 → composite (even)
- 89 → prime
- 45 → composite (divisible by 5 and 9)
- 61 → prime
- 29 → prime
- 2 → prime (only even prime)
- 10 → composite
- 69 → composite (divisible by 3)
- 36 → composite
- 53 → prime
- 47 → prime
- 41 → prime
- 79 → prime
- 73 → prime
- 5 → prime
- 97 → prime
- 27 → composite (3×9)
- 84 → composite

✔ Prime numbers to circle:
13, 37, 89, 61, 29, 2, 53, 47, 41, 79, 73, 5, 97

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B) Circle all the Composite numbers:

Composite numbers are numbers greater than 1 that are not prime (i.e., they have more than two factors).

From the same list, we already identified which are not prime. So:

Composite numbers:
54, 96, 45, 10, 69, 36, 27, 84

Also include any others not listed above but still composite.

Wait — check the second list in B:
`79, 92, 26, 7, 21, 80, 17, 8, 67, 15, 48, 83, 19, 62, 49, 11, 4, 32, 37, 67, 4, 69`

Now identify composites:

- 79 → prime
- 92 → composite (even)
- 26 → composite (even)
- 7 → prime
- 21 → composite (3×7)
- 80 → composite (even)
- 17 → prime
- 8 → composite
- 67 → prime
- 15 → composite (3×5)
- 48 → composite
- 83 → prime
- 19 → prime
- 62 → composite (even)
- 49 → composite (7×7)
- 11 → prime
- 4 → composite
- 32 → composite
- 37 → prime
- 67 → prime
- 4 → already listed
- 69 → composite

✔ Composite numbers to circle:
92, 26, 21, 80, 8, 15, 48, 62, 49, 4, 32, 69

Note: Some numbers repeat (e.g., 67 appears twice), but only circle once.

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C) Multiple choice questions:

#### 1) Choose the greatest prime number:
Options:
a) 34
b) 100
c) 99
d) 97

Check each:
- 34 → even → composite
- 100 → even → composite
- 99 → divisible by 3 (9+9=18) → composite
- 97 → prime ✔

✔ Answer: d) 97

#### 2) Choose the smallest composite number:
Options:
a) 12
b) 19
c) 8
d) 45

Check:
- 12 → composite
- 19 → prime
- 8 → composite
- 45 → composite

Smallest composite among them: 8

But wait — is there a smaller composite? The smallest composite number is 4, but it's not an option.

Among the options:
- 8 < 12 < 45

So smallest composite is 8

✔ Answer: c) 8

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✔ Final Answers:

A) Prime numbers:
13, 37, 89, 61, 29, 2, 53, 47, 41, 79, 73, 5, 97

B) Composite numbers:
54, 96, 45, 10, 69, 36, 27, 84, 92, 26, 21, 80, 8, 15, 48, 62, 49, 4, 32, 69

C)
1) Greatest prime: d) 97
2) Smallest composite: c) 8

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