find the smallest number by which 8788 must be multiplied to obtain a perfect cube
Answers
Answered by
36
Prime factorization of 8788 = 2 * 2 * 13 * 13 * 13.
It is not a perfect cube, In order to make it a perfect cube multiply it by 4(2 * 2)
8788 / 4 = 2197. (perfect cube of 13)
So, the smallest number is 4.
It is not a perfect cube, In order to make it a perfect cube multiply it by 4(2 * 2)
8788 / 4 = 2197. (perfect cube of 13)
So, the smallest number is 4.
Answered by
42
let the cube is C and the smallest number is y
C = 8788×y
C = 2*2*13*13*13*y
C = 13³*2²*y
if y = 2 then the number C will be a perfect cube
C = 13³*2³
Therefore Answer is 2.
C = 8788×y
C = 2*2*13*13*13*y
C = 13³*2²*y
if y = 2 then the number C will be a perfect cube
C = 13³*2³
Therefore Answer is 2.
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