Q8 of 85 Page 133

7921 soldiers sat in an auditorium in such a way that there are as many soldiers in a row as there are rows in the auditorium. How many rows are there in the auditorium?

Given, 7921 soldiers in a auditorium. We need to find out number of rows and number of soldiers.

Let us assume the number of soldiers in each row = x.


Since, we know that number of soldiers in each row = number of rows in the auditorium.


Total number of soldiers = x × x = x2


Calculate x value.


∴ x2 = 7921


Calculate prime factors for 7921.



We know from pairing the factors


⇒ x2 = (89 × 89)


⇒X = 89


Hence, number of rows in the auditorium is 89.


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