Problem Description:
The task is to identify and color all the
prime numbers in the given grid. The goal is to help Katie and her friends find their way to the treasure by highlighting these prime numbers. The first one (the number 2) has already been colored as an example.
Solution Approach:
1.
Definition of Prime Numbers: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
2.
Steps to Solve:
- Go through each number in the grid.
- Check if the number is a prime number by verifying that it has no divisors other than 1 and itself.
- Color or mark the prime numbers.
Grid Analysis:
We will analyze each number in the grid and determine whether it is a prime number.
#### Row-by-Row Analysis:
Row 1:
-
2: Prime (already colored)
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1: Not prime (by definition, 1 is not a prime number)
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14: Not prime (divisible by 2 and 7)
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16: Not prime (divisible by 2 and 8)
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15: Not prime (divisible by 3 and 5)
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21: Not prime (divisible by 3 and 7)
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32: Not prime (divisible by 2 and 16)
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40: Not prime (divisible by 2 and 20)
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14: Not prime (divisible by 2 and 7)
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9: Not prime (divisible by 3 and 3)
Row 2:
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3: Prime
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4: Not prime (divisible by 2 and 2)
-
13: Prime
-
17: Prime
-
19: Prime
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23: Prime
-
24: Not prime (divisible by 2 and 12)
-
27: Not prime (divisible by 3 and 9)
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35: Not prime (divisible by 5 and 7)
-
44: Not prime (divisible by 2 and 22)
Row 3:
-
5: Prime
-
7: Prime
-
11: Prime
-
9: Not prime (divisible by 3 and 3)
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12: Not prime (divisible by 2 and 6)
-
29: Prime
-
28: Not prime (divisible by 2 and 14)
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36: Not prime (divisible by 2 and 18)
-
48: Not prime (divisible by 2 and 24)
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12: Not prime (divisible by 2 and 6)
Row 4:
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6: Not prime (divisible by 2 and 3)
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8: Not prime (divisible by 2 and 4)
-
10: Not prime (divisible by 2 and 5)
-
16: Not prime (divisible by 2 and 8)
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25: Not prime (divisible by 5 and 5)
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31: Prime
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33: Not prime (divisible by 3 and 11)
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38: Not prime (divisible by 2 and 19)
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8: Not prime (divisible by 2 and 4)
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21: Not prime (divisible by 3 and 7)
Row 5:
-
22: Not prime (divisible by 2 and 11)
-
30: Not prime (divisible by 2 and 15)
-
38: Not prime (divisible by 2 and 19)
-
42: Not prime (divisible by 2 and 21)
-
34: Not prime (divisible by 2 and 17)
-
37: Prime
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41: Prime
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39: Not prime (divisible by 3 and 13)
-
42: Not prime (divisible by 2 and 21)
-
26: Not prime (divisible by 2 and 13)
Row 6:
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26: Not prime (divisible by 2 and 13)
-
45: Not prime (divisible by 3 and 15)
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10: Not prime (divisible by 2 and 5)
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24: Not prime (divisible by 2 and 12)
-
38: Not prime (divisible by 2 and 19)
-
15: Not prime (divisible by 3 and 5)
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43: Prime
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6: Not prime (divisible by 2 and 3)
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16: Not prime (divisible by 2 and 8)
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32: Not prime (divisible by 2 and 16)
Row 7:
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33: Not prime (divisible by 3 and 11)
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49: Not prime (divisible by 7 and 7)
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27: Not prime (divisible by 3 and 9)
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18: Not prime (divisible by 2 and 9)
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34: Not prime (divisible by 2 and 17)
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46: Not prime (divisible by 2 and 23)
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47: Prime
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50: Not prime (divisible by 2 and 25)
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45: Not prime (divisible by 3 and 15)
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49: Not prime (divisible by 7 and 7)
Final Colored Prime Numbers:
The prime numbers in the grid are:
-
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Answer:
The solution involves coloring all the above prime numbers in the grid. The final answer, boxed, is:
\[
\boxed{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}
\]
Parent Tip: Review the logic above to help your child master the concept of prime and composite numbers worksheet printable.
