Question

by what least number should 684 be multiplied to get a perfect cube​

Answer 1

Answer:

Step-by-step explanation:

See, the prime factorisation of 684 is 2×2×3×3×19. For a number to be a perfect cube, all the factors should be a multiple of 3 in amount. Here, we have only two 2's, two 3's and one 19. So we need an extra 2, an extra 3 and two extra 19. So the number to be multiplied is 19×19×2×3 which is 2166.