Question

The least number by which either on multiplying or dividing the number 19404 will become complete square is

Answer 1

19404 = 2×2×3×3×7×7×11 = 11×(2×3×7)^2
The no is 11 .. which multiply or devide the given number will become a perfect square

Answer 2

Answer:

11

Step-by-step explanation:

Given: The least number by which either on multiplying or dividing the number 19404 will become a complete square. This can be done by prime factorization.

First take out the factors for 19404. We get

2 x 2 x 3 x 3 x 11 x 7 x 7

here separate the numbers which are not in pairs. All are in pairs except 11 is left out, hence 11 is the least number to make the number a perfect square.