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Find the cube root of 35937 by using
a) prime factorization method
Given: The number is 35937
To do: Find the cube root of 35937 by using prime factorization method
Answer:
A number that must be multiplied by itself three times to equal a given number is called cube root.
Step I : Obtain the given number
Step II : Resolve it into 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
Finding the cube root of 35937 by prime factorization method:
The prime factorization of a number is the product of all its prime factors.
$35937 = 3 \times 3 \times 3 \times 11 \times 11 \times 11$
$∛35937 = ∛(3 \times 3 \times 3 \times 11 \times 11 \times 11) = 3 \times 11 = 33$
Therefore, $∛35937 = 33$
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