How to find the largest 4 digit no. which is a perfect cube? pls help me fast and im getting prime factors as 3 x 3 x 11 x 101 . So can u pls help me with the next step. my exams r nearing.pls help me as fat as u can

Asked by Amey Pathak(student), on 6/9/11

#### Answers

**i know adout 5 digit no.**

** The potentially largest number is 99,999. Take the cube root of 99,999 and you get 46.4... Take 46^3 and you get = 97336, **

Posted by Davis Dayal(student), on 6/9/11

cube root of 9999 is 21.543628731482663. Take 21and the further

Posted by Davis Dayal(student), on 6/9/11

EXPERT ANSWER

Hi!

Here is the answer to your query.

The largest 4-digit perfect cube can be obtained by cubing some natural numbers at random.

Let’s take the number say 10.

10

^{3}= 1000 which is very less than**largest**4-digit numberLet’s now take 15.

15

^{3}= 3375 which is still less than**largest**4-digit numberNow let us take 20.

20

^{3}= 8000Now, let’s take 21.

21

^{3}= 9261Now take 22.

22

^{3}= 10648 which is greater than**largest**4-digit number (9999)So, we can conclude that 9621 is the

**largest**4-digit perfect cube.Cheers!

Posted by Lalit Mehra(MeritNation Expert), on 7/9/11

This conversation is already closed by Expert

sir my method is right

Posted by Davis Dayal(student), on 22/9/11

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