Question

Find the smallest number by which 3456 must be divided so that the quotient becomes a perfect cube .

Answer 1

first we start with no 2
then 3456÷2=1728
since 1728 is the cube of 12
hence 2 is the smallest no .

Answer 2

Heya !!

Here's your answer..
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To find perfect cube of any number it must be divisible by 2.

So, Divide 3456 by 2

= 3456/2
= 1728

= ³√1728
= ³√ 3×3×3×2×2×2×2×2×2
= 3 × 2 × 2
= 12

2 must be the no. by which 3456 must be divided so that the quotient becomes a perfect cube.
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Hope it helps..
Thanks :)