Question

A biology class requires a lab fee, which is a whole number of dollars, and the same amount for all students. On Monday the instructor collected $70 in fees, on Tuesday she collected $126, and on Wednesday she collected $266. What is the largest possible amount the fee could be?

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Answer 1

Answer:

Given number = 180

By prime factorization

180=2×2×3×3×5

In given factor '5' does not have any pair if '180' is multiplied By '5' then it will become perfect square.

180×5=900

and 900

=2×3×5=30

square root of 900 is 30