Find the smallest number by which 14,580 must be multiplied to make a perfect cube. Also, find the cube root of the perfect cube number obtained.

Finding prime factors of 14580 Since the prime factor 2 and 5 are not in triplets, Hence, 14,580 must be multiplied with 2 x 5 x 5 = 50 14,580 should be multiplied with 50 so that the product is a perfect cube. The cube root of 729000 is 90.