Question

what is the smallest number by which 8232 must be divided so that quotient is a perfect cube also find cube root of the quotient

8232=2³×7³×3¹
you can see that 2 and 7 both have same powers and that is cube but 3 is odd so we should divide 3 with 8232.
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Answer 1

Answer:

8232 = 3 * 8 * 343 = 3 * 2^3 * 7^3

so, if we divide 8232 by 3 then quotient will be perfect cube.

8+2+3+2=15 so it is divisible by 3 having 0 remainder.

8232/3=2744

cube root of 2744= 140. 2744 is a perfect cube

so, 3 is the solution .

Step-by-step explanation:

I hope that this helps

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