find the smallest perfect cube of five digits
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Firstly the known smallest 5 digit number is 10,000 and find the cube root of 10,000 to get a decimal number. Since we need a natural number’s cube round it off to the nearest natural number.
We can approach this problem in a slightly different way. Let us assume the number 20, the cube of 20 is 8000, which is not a5 digit number.
Now check for 21. It is 9261, which is also not a 5 digit number. So check for 22, it gives 10,648 and is a smallest 5 digit cube.
So 10,648 is the smallest 5 digit cube.
EXPLANATION;
you can do prime factorization method in rough work and write these steps.
I HOPE THIS HELPS YOU OUT
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