Question

Find the smallest number by which each of the following must be multiplied / divided to get a perfect cube(i) 135 ii) 1125

Answer 1

Answer:

1)135

By Prime factorization we get

135=5×3×3×3

Clearly, to make it a perfect cube it must be divided by 5.

And to make it a perfect cube it must be multiplied by (5×5)=25

2)1125

By Prime factorization we get

1125=5×5×5×3×3

Clearly, to make it a perfect cube it must be divided by (3×3)=9

And to make it a perfect cube it must be multiplied by 3

Step-by-step explanation:

Hope it helps.......