First of all, we will find the prime factors of 7776.
7776 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3
7776 = 25 × 35
7776 = (22 × 32)2 × 2 × 3
As we can see, if we divide the number 7776 by 2 × 3, then the number will become a perfect square.
\(\frac{7776}{6} = 1296\)
1296 = (4 × 9)2
1296 = (36)2
1296 is the square of 36.
Therefore, 7776 has to be divided by 6 to obtain a perfect square.
