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A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows?
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A farmer wants to arrange his pots of Marigold plants in such a way th...
Understanding the Problem
To arrange the Marigold plants in such a way that the number of plants in each row equals the number of rows, we need to find a perfect square that divides both 24 and 336.
Finding the Common Factors
1. Factors of 24:
- 1, 2, 3, 4, 6, 8, 12, 24
2. Factors of 336:
- 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 56, 84, 112, 168, 336
Common Factors of 24 and 336
- The common factors between 24 and 336 are:
- 1, 2, 3, 4, 6, 8, 12, 24
Identifying Perfect Squares
- Among the common factors, the perfect squares are:
- 1, 4
Choosing the Best Arrangement
- Since we want more than one row, we can choose the largest perfect square, which is 4.
Calculating Rows and Plants
- If we have 4 rows:
- Total Plants: 24
- Plants in Each Row: 24 ÷ 4 = 6
- If we have 4 rows for 336 plants:
- Total Plants: 336
- Plants in Each Row: 336 ÷ 4 = 84
Final Arrangement
- The farmer can arrange:
- For 24 plants: 4 rows with 6 plants in each row.
- For 336 plants: 4 rows with 84 plants in each row.
This arrangement ensures a balanced setup for the Marigold plants, allowing equal distribution across the rows.
To arrange the Marigold plants in such a way that the number of plants in each row equals the number of rows, we need to find a perfect square that divides both 24 and 336.
Finding the Common Factors
1. Factors of 24:
- 1, 2, 3, 4, 6, 8, 12, 24
2. Factors of 336:
- 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 56, 84, 112, 168, 336
Common Factors of 24 and 336
- The common factors between 24 and 336 are:
- 1, 2, 3, 4, 6, 8, 12, 24
Identifying Perfect Squares
- Among the common factors, the perfect squares are:
- 1, 4
Choosing the Best Arrangement
- Since we want more than one row, we can choose the largest perfect square, which is 4.
Calculating Rows and Plants
- If we have 4 rows:
- Total Plants: 24
- Plants in Each Row: 24 ÷ 4 = 6
- If we have 4 rows for 336 plants:
- Total Plants: 336
- Plants in Each Row: 336 ÷ 4 = 84
Final Arrangement
- The farmer can arrange:
- For 24 plants: 4 rows with 6 plants in each row.
- For 336 plants: 4 rows with 84 plants in each row.
This arrangement ensures a balanced setup for the Marigold plants, allowing equal distribution across the rows.
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A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows?
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A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows?.
A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A farmer wants to arrange his pots of Marigold plants in such a way that each row contains many plants as the number of rows if we have 24 , 336 plants find the number of plants in each row and total number of rows?.
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