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In a classroom, the teacher wants to arrange chairs in rows such that each row h

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Question: In a classroom, the teacher wants to arrange chairs in rows such that each row has the same number of chairs. If there are 48 chairs and the number of rows must be a factor of 48, which of the following is NOT a possible number of rows?

Options:

  1. 4
  2. 6
  3. 8
  4. 10

Correct Answer: 10

Solution: 

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. 10 is not a factor of 48.

In a classroom, the teacher wants to arrange chairs in rows such that each row h

Practice Questions

Q1
In a classroom, the teacher wants to arrange chairs in rows such that each row has the same number of chairs. If there are 48 chairs and the number of rows must be a factor of 48, which of the following is NOT a possible number of rows?
  1. 4
  2. 6
  3. 8
  4. 10

Questions & Step-by-Step Solutions

In a classroom, the teacher wants to arrange chairs in rows such that each row has the same number of chairs. If there are 48 chairs and the number of rows must be a factor of 48, which of the following is NOT a possible number of rows?
  • Step 1: Understand that we need to find the factors of 48. A factor is a number that can divide another number without leaving a remainder.
  • Step 2: List all the numbers that can divide 48 evenly. Start from 1 and go up to 48.
  • Step 3: Check each number: 1 (48 ÷ 1 = 48), 2 (48 ÷ 2 = 24), 3 (48 ÷ 3 = 16), 4 (48 ÷ 4 = 12), 6 (48 ÷ 6 = 8), 8 (48 ÷ 8 = 6), 12 (48 ÷ 12 = 4), 16 (48 ÷ 16 = 3), 24 (48 ÷ 24 = 2), 48 (48 ÷ 48 = 1).
  • Step 4: Write down all the factors you found: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Step 5: Now, look at the number 10. Check if 10 is in the list of factors you wrote down.
  • Step 6: Since 10 is not in the list of factors of 48, it means 10 is NOT a possible number of rows.
  • Factors – Understanding factors involves identifying numbers that can divide another number without leaving a remainder.
  • Divisibility – This concept tests the ability to determine if one number can be evenly divided by another.
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