Question

Is 135 a perfect cube? Give reason. ​

Answer 1

Answer:

yes it is

Step-by-step explanation:

Grouping the prime factors of 135 into triples, we are left over with 5. i.e. 27 is a perfect cube. Thus, the required smallest number is 5.

Hence, we divide 135 by 5, so that the obtained number becomes a perfect cube. 135÷5=27=33 135 ÷ 5 = 27 = 3 3 is a perfect cube.

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Answer 2

$135$ is a perfect cube.

To find: Is $135$ a perfect cube or not.

Step-by-step explanation:

• The product of three identical numbers yields a perfect cube. Multiply a number 'N' by itself three times to see if the result is the number 'N'.

Solution:

$135$ is a perfect cube because:

Prime factorization of $135$: $3\times3\times3\times5$

The fewest number by which $135$ can be divided to get a perfect cube is $5$, hence $\frac{135}{5}=27$, which is a perfect cube.