Question

find cube root of 8000 by prime factorisation method
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Answer 1

cube root of 8000 is 20

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Answer 2

Cube root of 8000 by prime factorization method is 20

Solution:

To find cube root of 8000 by prime factorization method

A number that must be multiplied times itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 8000:

Thus we get,

Now let us group the factors

There are 3 groups, so from that group take one factor out

Thus cube root of 8000 by prime factorization method is 20

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