Fill in the blanks to make the statements true.The least number by whi

1.	Fill in the blanks to make the statements true.The least number by which 72 be divided to make it a perfect cube is _____________.
Answer» 9 Resolving 72 into prime factors, we get 72=2 x 2 x 2 x 3 x 3 Grouping the factors in triplets of equal factors, we get 72 = (2 x 2 x 2) x 3 x 3 Clearly, if we divide 72 by 3 x 3, the quotient would be 2 x 2 x 2, which is a perfect cube. Hence, the least number by which 72 be divided to make it, a perfect cube, is 9.

Fill in the blanks to make the statements true.The least number by which 72 be divided to make it a perfect cube is _____________.

Answer»

Resolving 72 into prime factors, we get
72=2 x 2 x 2 x 3 x 3

Grouping the factors in triplets of equal factors, we get

72 = (2 x 2 x 2) x 3 x 3

Clearly, if we divide 72 by 3 x 3, the quotient would be 2 x 2 x 2, which is a perfect cube.

Hence, the least number by which 72 be divided to make it, a perfect cube, is 9.