Question

is 129 is perfect cube we are using prime factorization methode to check​

Answer 1

Answer:

no 129 is not a perfect cube

Answer 2

Given,

The main number = 129

To find,

The main number is perfect cube or not. (prime factorization method.)

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Prime factorization of the given number,

129 = 3×43 = 3¹×43¹

Now, if a number is perfect cube, then each unique prime factor in the prime factorization of that number, will have an exponent which is divisible by 3.

Here, the unique prime factors are = 3 and 43

Both of them have exponents of 1, as only one single of each of them are present in prime factorization.

Now, the exponent 1, is not divisible by 3.

So, the main number or 129 is not a perfect cube.

Hence, the 129 is not a perfect cube.