Question

Find the smallest number by which 704 must be devided to obtain a perfect cube step by step with formula​

Answer 1

704 = 2× 2×2×2 ×2× 2× 11

so forming pairs of cube then 11 remains unpaired so it must be divided by 11 to make it a perfect cube.

Lets verify

704÷11 =64

64 is cube of 4

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Answer 2

Step-by-step explanation:

704 = 2×2×2×2×2×2×11

Since all the factors of 704 are in triplets except 11.

So, 704 must be divided by 11 to get a perfect cube.

On dividing 704 by 11,

11 ) 704 ( 64

66

×44

44

00

So, we get 64 which is a perfect cube.

8³ = 64 or ³√64 = 8