Question

find the smallest number by which 2592 should he divided so that the quotient is a perfect square.

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Answer 1

Answer:

Answer

2592=2×2×2×2×2×3×3×3×3

It can be written as

By pairing the same kind of factors, one factors 2is left unpaired.

Required least number =2

The number 2592 should be divided by 1 so that the result number will be a perfect square

Resultant number =2592÷2=1296

Square root  =2×2×3×3=36

Answer 2

Step-by-step explanation:

Primefactorisation of

2592=

2×

2×

2×

2×

2×

3×

3×

3×

3

On grouping the factors in pairs, we notice that one 2 is left out. Hence,we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.

Hence, 2592 should be multiplied by 2 to make it a perfect square.

$i \: hope \: its \: help \: you.$