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Prime and Composite Numbers Worksheets — Free & Customizable - Free Printable

Prime and Composite Numbers Worksheets — Free &  Customizable

Educational worksheet: Prime and Composite Numbers Worksheets — Free & Customizable. Download and print for classroom or home learning activities.

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I need to solve this math worksheet by sorting the numbers into "Prime Numbers" and "Composite Numbers" columns. Let me first understand what prime and composite numbers are, then I'll go through each number in the list.

First, look closely:
- The worksheet has two columns: "Prime Numbers" (pink) and "Composite Numbers" (teal).
- There's a list of numbers at the bottom: 21, 3, 14, 17, 9, 2, 34, 1, 24, 78, 79, 2.
- I need to classify each number as either prime or composite.

Next, find information:
I need to recall the definitions:
- A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- A composite number is a natural number greater than 1 that has more than two positive divisors (i.e., it can be divided evenly by numbers other than 1 and itself).
- The number 1 is neither prime nor composite.

Let me now analyze each number from the list:

1. 21: Divisible by 1, 3, 7, 21 → Composite
2. 3: Divisible by 1, 3 → Prime
3. 14: Divisible by 1, 2, 7, 14 → Composite
4. 17: Divisible by 1, 17 → Prime
5. 9: Divisible by 1, 3, 9 → Composite
6. 2: Divisible by 1, 2 → Prime (smallest prime number)
7. 34: Divisible by 1, 2, 17, 34 → Composite
8. 1: Neither prime nor composite
9. 24: Divisible by 1, 2, 3, 4, 6, 8, 12, 24 → Composite
10. 78: Divisible by 1, 2, 3, 6, 13, 26, 39, 78 → Composite
11. 79: Divisible by 1, 79 → Prime
12. 2: Divisible by 1, 2 → Prime

Then, review the findings:
I have classified all numbers. The number 1 should not be placed in either column since it's neither prime nor composite.

Final Answer:

Here's the solution for the worksheet:

Prime Numbers:
- 3
- 17
- 2
- 79
- 2

Composite Numbers:
- 21
- 14
- 9
- 34
- 24
- 78

Note: The number 1 is neither prime nor composite, so it should not be placed in either column.
Parent Tip: Review the logic above to help your child master the concept of worksheet prime composite versus.
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