Question

a number 2088 by what if we divide the number it will become a perfect square?

Answer 1

Here is your Answer

First Prime Factorize 31620, that Gives;

31620 = 2×2×5×3×17×31

As factor of 3,5,17 and 31 are not in Pair.

86700 should be divided by 7905 to get a Perfect Square

i.e.- 31620/7905  = 4

Hope it Helps

Mark Brainliest

Regards,

Answer 2

Answer:

the number by which 2088 must be divided so that it becomes a perfect square is 58.

Given,

2088, a positive integer

To find,

the number by which 2088 must be divided so that it becomes a perfect square

Solution,

step - 1: to find the number by which 2088 must be divided so that it becomes a perfect square, we need to carry out its prime factorization.

2088 = 2 x 2 x 2 x 3 x 3 x 29.

step - 2: look for the factors which do not form any pairs.

2088 = 2 x 2 x 2 x 3 x 3 x 29 ; here, we can see that 2 and 29 are the numbers that do not form a pair.

step - 3: divide 2088 by numbers that do not form a pair.

so, we must divide 2088 by 29 and 2 to get our answer.

let the perfect square to be obtained be Y.

Y= 2088 / ( 29x2 )

Y = 2088 / 58

Y = 36, which is the square of 6.

Hence, 2088 must be divided by 58 to obtain a perfect square.

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