Question

What smallest number should 7830 be multiplied with so that the product becomes a perfect cube

Answer 1

Answer:

the smallest number that should be multiplied with 7830 to make a perfect cube is

Step-by-step explanation:

We can find the answer using prime factorization method

7830 = 2*3*3*3*5*29

=2*(3^3)*5*29

if we multiply 84,100

= 2*3*3*3*5*29*2*2*5*5*29*29

then it becomes (2^3)*(3^3)*(5^3)*(29^3)

=658,503,000