Question

find the smallest number by which 10,368 should be multiplied to make it a perfect square​

Answer 1

Answer:

The prime factors of 10368 are:

10368 = 2*2*2*2*2*2*2*3*3*3*3

10368 = ( (2*2*2)*(3*3) ) * ( (2*2*2*2)*(3*3) )

Rule to remember: Perfect squares have an even number of each prime factor.

We can make a perfect square by multiplying bt 2 (the least prime factor that appears an odd number of times).

20736 = ( (2* 2*2*2)*(3*3) ) * ( (2*2*2*2)*(3*3) )

Or, we can divide it by 2 (the least prime factor that appears an odd number of times).

5184 = ( (2*2*2)*(3*3) ) * ( ( 2*2*2)*(3*3) )

Since SQRT(10368) = 101.82 is between 101*101=10201 and 102*102=10404, (the nearest perfect squares),

we may add 36 to get 10404,

or subtract 167 to get 10101.

Answer 2

Step-by-step explanation:

if it would be division.. then might come answer as 72