Question

What least number should be multiplied with 6561 to make it perfect cube

Answer 1

Answer:

3

Step-by-step explanation:

Prime factorization of,

6561=(3×3×3)×(3×3×3)×(3×3)

Only two 3's in 3rd bracket , if there would be one more 3 then the final number will be a perfect cube.

Therefore, 3 is the smallest number that should be multiplied by 6561 to obtain a perfect cube.

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Answer 2

prime factorization of 6561=(3x3x3) x[3x3x3]x[3x3x3]

only two 3s in 3rd bracket, if there would be one more 3 then the final number cube

There fore 3 is the smallest number that should be multiplied by 6561 to obtain a perfect cube

6561x3=19683

prime factorization of 19683=(3x3x3) x(3x3x3)x(3x3x3)

therefore cube root of 19683=3x3x3=27