Math, asked by MarciaRoyal3130, 1 year ago

By which smallest number 1323 must be multiplied so that it becomes a perfect cube

Answers

Answered by yashgnms201568
3

Answer:

The smallest number is 7.

Step-by-step explanation:

To find the ‘smallest number’ by which 1323 will be multiplied, we need to factorize 1323 as under:

1323 = 3 x 441

1323 = 3 x 3 x 147

1323 = 3 x 3 x 3 x 49

1323 = 3 x 3 x 3 x 7 x 7

The above can be written as 1323 = 3^3 x 7^2

Now, 7 is not in triplet. If 7 is in triplet, then derived number will be perfect cube.  

Hence, 1323 must be ‘multiplied by 7’ to get a ‘perfect cube’ as shown below:

1323 = 3^3 x 7^3 = 21 x 21 x 21 = 9261.

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Answered by kanchu169akanksha
2

Answer:

Step-by-step explanation:

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