Question

rimary SchoolMath 6+3 pts Find the smallest number by which 10368 be divided,so that the result is a perfect square..Also find the square root of the resulting number

Answer 1

Hey there !

Solution:

Let us first express 10368 in terms of Prime Factors

=> 10368 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

=> 10368 = 2² × 2² × 2² × 3² × 3² × 2

In this the number is just getting an extra 2 without any pair. Hence if we divide that number from 10368 we will get a perfect square as an answer.

Hence the least number that must be used for dividing 10368 is 2, which will give a quotient 5184.

Square root of 5184 = √ ( 2² × 2² × 2² × 3² × 3² )

=> √ 5184 = 2 × 2 × 2 × 3 × 3

=> √ 5184 = 72

Hence the square root of 5184 is 72.

Hope my answer helped !