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Finds the smallest number divided to 1125 to get a perfect cube

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We see that,

Smallest number divided to get a perfect cube - Part 2

Since 3 does not occur triplets,

we divide by 3 × 3 to make a triplet

 

So, our number becomes

1125 × 1/ 3 × 1/3   = 3 × 3 × 5 × 5 × 5 × 1/3 × 1/3

     = 5 × 5 × 5

 

Now, it becomes a perfect cube.

 

So, we divide 1125 by 3 × 3

i.e. 9 to make it a perfect cube

 

Finds the smallest number divided to 5324 to get a perfect cube.

Smallest number divided to get a perfect cube - Part 3

We see that,

  5324 = 2 × 2 × 11 × 11 × 11

 

Here,

2 does not occur in triplets

So, we divide by 2 × 2 to make triplet

 

So, our number becomes

  5324  × 1/2  × 1/2 = 2 × 2 × 11 × 11 × 11 × 1/2   × 1/2

       = 11 × 11 × 11

 

Now, it becomes a perfect cube.

 

So, we divide 5324 by 2 × 2

i.e. to make it a perfect cube

 

Finds the smallest number divided to 968 to get a perfect cube.

Smallest number divided to get a perfect cube - Part 4

 

We see that,

  968 = 2 × 2 × 2 × 11 × 11

 

Here,

11 does not occur in triplets

So, we divide by 11 × 11 to make triplet

 

So, our number becomes

  968 × 1/11 × 1/ 11 = 2 × 2 × 2 × 11 × 11 × 1/11  × 1/11

          = 2 × 2 × 2

 

Now, it becomes a perfect cube.

 

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.