Question

1.2 Find the smallest no. by which 1164 should be divided by to get a perfect cube. Also find the cube root of the number obtained.
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Answer 1

Solution :-

Prime Factor of 1164 are :-

→ 1164 = 2 * 2 * 3 * 97

we know that, a perfect cube has Each pairs of natural numbers in three .

As we can see none of the numbers are in pairs of three.

So, we can conclude that, we have to Divide the given number with all non - three pairs .

→ 2 * 2 * 3 * 97 = 1164 .

Therefore, the smallest no. by which 1164 should be divided by to get a perfect cube is 1164 himself.

And,

→ Cube root of Number obtained = (1164/1164) = cube rooy of 1 = 1 (Ans.)