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).
2^6 = 64 The cube root is 2^2, or 4
It is the cube of a prime number.
To determine the smallest number by which 3087 must be multiplied to make it a perfect cube, we first need to find its prime factorization. The prime factorization of 3087 is (3^2 \times 7^1 \times 13^1). For a number to be a perfect cube, all the exponents in its prime factorization must be multiples of 3. Thus, we need to multiply by (3^1 \times 7^2 \times 13^2) to make the exponents of each prime factor a multiple of 3. Therefore, the smallest number to multiply is (3 \times 49 \times 169 = 2457).
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.
All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.
2^6 = 64 The cube root is 2^2, or 4
The prime factorization for 125 is:5 X 5 x 5125 is the cube of 55x5x5
25
To find the smallest value of k when 882k is a cube, we need to factor out the cube from 882k. The prime factorization of 882 is 2 x 3^2 x 7^2. For 882k to be a cube, we need to find the smallest value of k such that the exponent of each prime factor in the prime factorization of 882k is a multiple of 3. Therefore, the smallest value of k would be 2^2 x 3 x 7 = 84.
It is the cube of a prime number.
To find the largest perfect cube factor of 189, we first need to factor it into its prime components. The prime factorization of 189 is (3^3 \times 7^1). The largest perfect cube that can be formed from these factors is (3^3), which equals 27. Therefore, the largest perfect cube factor of 189 is 27.
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.
All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.
(3^3)*(11^3)=35937 so the cube root of 35937 using prime numbers is 3*11=33
No.
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