Question

What is the smallest number by which 1600 must be divided so that quotient is a perfect cube​

Answer 1

Answer:

25 is the no. which should be  the dividend for 1600 in order to form the quotient as a perfect cube

Explanation:

The prime factorisation of 1600 =2x2x2 2x2x2 5x5

therefore the factorisation does not contain the 5 no. 3 times so it cannot be paired to form a cube,

therefore,we will take the product of the two fives to didide with 1600 so as to get a perfect cube as the quotient.

when we divide 1600 by 25, we get 64, which is the cube of 4=(4)^3

therefore we got the answer.

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