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If a factor appears 3 times, you get this factor (only once) times the cube root of a smaller number (the original number divided by the factor cubed).

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Q: How do you find the cube root of 2330 using prime factorization?
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What is the cube root of 64 using prime factorization?

2^6 = 64 The cube root is 2^2, or 4


What is the prime factorization for 125?

The prime factorization for 125 is:5 X 5 x 5125 is the cube of 55x5x5


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What is a prime cube?

It is the cube of a prime number.


What is th cube root of 900 using prime factorization?

900=2x2x5x5x3x3 There are not any groups of three so the cube root is not a whole number. Now you have to take numbers and guess it. 10 cubed is 1000 9 cubed is 729 9.5 cubed is 902.5 So, keep trying to get close to the amount.


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All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.


Investigate by using prime numbers cubed root of 35937?

(3^3)*(11^3)=35937 so the cube root of 35937 using prime numbers is 3*11=33


Can a prime number be a cube number?

No.


The cube root of this number is 1 more than the smallest prime?

The cube root of this number is 1 more than the smallest prime?


The cube root of this number is one more than the smallest prime?

The cube root of this number is one more than the smallest prime


What is the smallest integer k such that 756k is a perfect cube?

k = 98. In the prime factorization (in power format) of a perfect cube, every prime must be to the power of a multiple of 3. 756 = 2^2 x 3^3 x 7 Thus the smallest perfect cube that is a multiple of 756 is 2^3 × 3^3 × 7^3; to obtain this need to multiply 756 by 2^1 × 3^0 × 7^2 = 98 Thus the smallest k to make 756k a perfect prime is k = 98.


What is the cube root of 717?

First of all we will express 717 as a product of primes because by working out P.F. we can see whether 717 is irrational or rational. Prime factorization of 717 = 3x239 Cube root of 717 = (3x239)1/3 which is an irrational number. Approximate value of 7171/3 = 8.9503