Multiply 6561 by the smallest number so that product is a perfect cube. Also find the cube root of the
product.
Answers
Q. Multiply 6561 by the smallest number so that product is a perfect cube. Also find the cube root of the product.
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ANS :- Performing prime factorization of 6561, we get
6561=3×3×3×3×3×3×3×3
6561=(3×3×3)×(3×3×3)×3×3
After grouping of the equal factors in 3’s, it’s seen that 3×3 is left ungrouped in 3’s.
In order to complete it in triplet, we should multiply it by 3.
Hence, required smallest number =3
and cube root of the product =3×3×3=27
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