Maths-
General
Easy

Question

What least number must be multiplied to 6912 so that the product becomes a perfect Cube?

hintHint:

Hint :- By prime Factorize the given number and find the number to be multiplied

The correct answer is: 3


    Explanation :-
    6912 = 2 × 3456
    = 2 × 2 × 1728
    = 2 × 2 × 2 × 864
    = 2 × 2 × 2 × 2 × 432
    = 2 × 2 × 2 × 2 × 2 × 216
    = 2 × 2 × 2 × 2 × 2 × 2 ×108
    = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 54
    = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 27
    = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ×3 × 9
    = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
    2 to the power of 8 space cross times space 3 cubed
    we know 2 to the power of 8  is perfect square and to make 3 cubed perfect square multiply it with 3
    We need to multiply 6912 with 3 to make

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