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Prime and Composite Numbers - Free Printable

Prime and Composite Numbers

Educational worksheet: Prime and Composite Numbers. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Prime and Composite Numbers
I'll solve this prime number maze by identifying all the prime numbers between 1 and 50, then I'll explain the solution.

First, let me recall what prime numbers are: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Let me go through the numbers from 1 to 50 and identify which ones are prime:

- 2 (prime - only divisible by 1 and 2)
- 3 (prime - only divisible by 1 and 3)
- 4 (not prime - divisible by 1, 2, 4)
- 5 (prime - only divisible by 1 and 5)
- 6 (not prime - divisible by 1, 2, 3, 6)
- 7 (prime - only divisible by 1 and 7)
- 8 (not prime - divisible by 1, 2, 4, 8)
- 9 (not prime - divisible by 1, 3, 9)
- 10 (not prime - divisible by 1, 2, 5, 10)
- 11 (prime - only divisible by 1 and 11)
- 12 (not prime - divisible by 1, 2, 3, 4, 6, 12)
- 13 (prime - only divisible by 1 and 13)
- 14 (not prime - divisible by 1, 2, 7, 14)
- 15 (not prime - divisible by 1, 3, 5, 15)
- 16 (not prime - divisible by 1, 2, 4, 8, 16)
- 17 (prime - only divisible by 1 and 17)
- 18 (not prime - divisible by 1, 2, 3, 6, 9, 18)
- 19 (prime - only divisible by 1 and 19)
- 20 (not prime - divisible by 1, 2, 4, 5, 10, 20)
- 21 (not prime - divisible by 1, 3, 7, 21)
- 22 (not prime - divisible by 1, 2, 11, 22)
- 23 (prime - only divisible by 1 and 23)
- 24 (not prime - divisible by 1, 2, 3, 4, 6, 8, 12, 24)
- 25 (not prime - divisible by 1, 5, 25)
- 26 (not prime - divisible by 1, 2, 13, 26)
- 27 (not prime - divisible by 1, 3, 9, 27)
- 28 (not prime - divisible by 1, 2, 4, 7, 14, 28)
- 29 (prime - only divisible by 1 and 29)
- 30 (not prime - divisible by 1, 2, 3, 5, 6, 10, 15, 30)
- 31 (prime - only divisible by 1 and 31)
- 32 (not prime - divisible by 1, 2, 4, 8, 16, 32)
- 33 (not prime - divisible by 1, 3, 11, 33)
- 34 (not prime - divisible by 1, 2, 17, 34)
- 35 (not prime - divisible by 1, 5, 7, 35)
- 36 (not prime - divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36)
- 37 (prime - only divisible by 1 and 37)
- 38 (not prime - divisible by 1, 2, 19, 38)
- 39 (not prime - divisible by 1, 3, 13, 39)
- 40 (not prime - divisible by 1, 2, 4, 5, 8, 10, 20, 40)
- 41 (prime - only divisible by 1 and 41)
- 42 (not prime - divisible by 1, 2, 3, 6, 7, 14, 21, 42)
- 43 (prime - only divisible by 1 and 43)
- 44 (not prime - divisible by 1, 2, 4, 11, 22, 44)
- 45 (not prime - divisible by 1, 3, 5, 9, 15, 45)
- 46 (not prime - divisible by 1, 2, 23, 46)
- 47 (prime - only divisible by 1 and 47)
- 48 (not prime - divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48)
- 49 (not prime - divisible by 1, 7, 49)
- 50 (not prime - divisible by 1, 2, 5, 10, 25, 50)

The prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

Looking at the image, I can see that these numbers are already colored in yellow/brown, which confirms my analysis. The worksheet shows the path from the pirate ship to the treasure island by connecting these prime numbers.

The solution is to color all the prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47) to help Katie and friends find their way to the treasure. The first one (number 2) is already done as an example.
Parent Tip: Review the logic above to help your child master the concept of prime and composite number worksheet 4th grade.
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