To solve this worksheet, we need to sort the numbers from 1 to 40 into two groups: Prime Numbers and Composite Numbers.
Step 1: Understand the Definitions
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Prime Numbers: These are numbers greater than 1 that have exactly two factors: 1 and themselves. They cannot be divided evenly by any other numbers.
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Composite Numbers: These are numbers greater than 1 that have more than two factors. They can be divided evenly by numbers other than 1 and themselves.
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Special Case: The number 1 is neither prime nor composite. It has only one factor (itself).
Step 2: Analyze the Numbers from 1 to 40
Let's go through the list and categorize them:
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1: Neither Prime nor Composite. (We leave this out).
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2: Prime (Factors: 1, 2).
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3: Prime (Factors: 1, 3).
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4: Composite (Divisible by 2).
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5: Prime (Factors: 1, 5).
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6: Composite (Divisible by 2 and 3).
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7: Prime (Factors: 1, 7).
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8: Composite (Divisible by 2 and 4).
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9: Composite (Divisible by 3).
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10: Composite (Divisible by 2 and 5).
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11: Prime (Factors: 1, 11).
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12: Composite (Divisible by 2, 3, 4, 6).
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13: Prime (Factors: 1, 13).
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14: Composite (Divisible by 2 and 7).
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15: Composite (Divisible by 3 and 5).
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16: Composite (Divisible by 2, 4, 8).
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17: Prime (Factors: 1, 17).
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18: Composite (Divisible by 2, 3, 6, 9).
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19: Prime (Factors: 1, 19).
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20: Composite (Divisible by 2, 4, 5, 10).
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21: Composite (Divisible by 3 and 7).
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22: Composite (Divisible by 2 and 11).
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23: Prime (Factors: 1, 23).
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24: Composite (Divisible by 2, 3, 4, 6, 8, 12).
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25: Composite (Divisible by 5).
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26: Composite (Divisible by 2 and 13).
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27: Composite (Divisible by 3 and 9).
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28: Composite (Divisible by 2, 4, 7, 14).
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29: Prime (Factors: 1, 29).
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30: Composite (Divisible by 2, 3, 5, 6, 10, 15).
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31: Prime (Factors: 1, 31).
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32: Composite (Divisible by 2, 4, 8, 16).
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33: Composite (Divisible by 3 and 11).
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34: Composite (Divisible by 2 and 17).
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35: Composite (Divisible by 5 and 7).
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36: Composite (Divisible by 2, 3, 4, 6, 9, 12, 18).
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37: Prime (Factors: 1, 37).
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38: Composite (Divisible by 2 and 19).
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39: Composite (Divisible by 3 and 13).
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40: Composite (Divisible by 2, 4, 5, 8, 10, 20).
Step 3: Compile the Final Lists
Prime Numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.
Composite Numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40.
*(Note: The number 1 is not included in either list as it is neither prime nor composite.)*
Final Answer:
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40
Parent Tip: Review the logic above to help your child master the concept of prime and composite numbers worksheet grade 4.
