Question

There are 12 chairs in the meeting hall and odd number of tables each table has the same number of chairs how many tables are there use prime factorization to solve two different ways

Answer 1

There may be 3 tables or 1 table.

Explanation:

If we factorize 12 into its prime factors then we get 12 = 2 × 2 × 3

If there are an odd number of tables and each table has an equal number of chairs and there are a total of 12 chairs, then the possibilities of the number of tables are 1 and 3.

{Since 1 and 3 both are odd numbers}

Now, for 3 tables there will be 4 chairs each to make the total chairs (3 × 4) = 12 and for 1 table there will be 12 chairs in the table to make the total number of chairs (1 × 12) = 12. (Answer)