Maths-
General
Easy

Question

What is the least number by which 8232 should be divided , so that the quotient is a
perfect cube ?

hintHint:

By Factorization  method  we  find the number by which 8232 to be divided .

The correct answer is: 3


    Explanation :-
    prime factorize 8232
    8232  = 2 cross times 4116
    = 2 cross timescross times 2058
    = 2 cross timescross timescross times 1029
    = 2 cross timescross timescross timescross times 343
    = 2 cross timescross timescross timescross timescross times 49
    = 2 cross timescross timescross timescross timescross timescross times 7
    2 cubed space cross times space 3 space cross times space 7 cubed space equals space 3 left parenthesis 2 space cross times space 7 right parenthesis cubed space equals space 3 space cross times space 14 cubed
    If  we divide 8232 by 3 we get quotient 14 cubed which is a perfect cube  .
    If we divide the number 8232 by 3 to get  the perfect cube .

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