Question

by what least number should 31250 be multiplied to make it a perfect cub

Answer 1

Step-by-step explanation:

Step-by-step explanation:

31250 = 5 x 5 x 5 x 5 x 5 x 5 x 2         (prime factorization)

31250 x 2 x 2 = 5 x 5 x 5 x 5 x 5 x 5 x 2 x 2 x 2 (multiplying 2 x 2 in lhs and rhs)    

31250 x 4 = 5 x 5 x 5 x 5 x 5 x 5 x 2 x 2 x 2

therefore 4 is the smallest number to be multiplied by 32150 to make a perfect cube.

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