Question

the smallest number by which we must divide 4624 so that is becomes a perfect cube ​

Answer 1

Answer:

578

Step-by-step explanation:

4624 = 2*2*2*2 * 17*17  

so to get a perfect cube we need to have any number as multiple of threes  

for example in the above number it has 2 and 17 as its factors  

we need to have only 3 twos  

and since 17 is only occurring two times  

we need to divide 4624 by 17*17*2  

that is dividing by 578  

4624 / 578 is 8  

which is a perfect cube

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