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).
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
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.
The prime factorization of 64 is 2x2x2x2x2x2 or 26. The prime factorization of 8 is 2x2x2 or 23.
The cube root of this number is 1 more than the smallest prime?
25
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).
The prime factorization of 10,000 is 24 x 54 The square root is 22 x 52 or 100.
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
22 x 5 = 20
sqrt(48) = 4*sqrt(3).
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.
(3^3)*(11^3)=35937 so the cube root of 35937 using prime numbers is 3*11=33
The cube root of 21,952 is 28
The cube root is the side of a cube.
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.