Question

find the smallest number by which 18522must be divided to make a perfect cube​

Answer 1

Answer:

Resolving 18522 into prime factors we get

2 18522

3   9261

3   3087

3   1029

7     343  

7       49

7         7

       1

18522

=

2

×

3

×

3

×

3

×

7

×

7

×

7

Grouping the factors in triplets of equal factors we get,

18522

=

2

×

(

3

×

3

×

3

)

×

(

7

×

7

×

7

)

Clearly if we divide  

18522

by  

2

, the quotient would be  

3

×

3

×

3

×

7

×

7

×

7

×

7

=

3

3

×

7

3

, which is a perfect cube.

Therefore, we must divide  

18522

by  

2

, so that the quotient  

9261

is a perfect cube.

Answer 2

Answer:

hiii........................