1728 = 2 x 864 = 2x2 x 432 = 2x2x2 x 216 = 2x2x2 x 2 x 108 = 2x2x2 x 2x2 x 54 = 2x2x2 x 2x2x2 x 27 = 2x2x2 x 2x2x2 x 3 x 9 = 2x2x2 x 2x2x2 x 3x3x3 = 2x2x3 x 2x2x3 x 2x2x3 = 12 x 12 x 12
cube root = 12
Factor the number 882, until you get prime factors. See what prime factors are missing to complete a cube (each prime number has to be to the power 3, 6, etc.). Multiply those missing factors, to get "k".
33 = 81 63 = 216 93 = 729 and 123 = 1728
The cube root of this number is one more than the smallest prime
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.
6
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
The cube root of 1728 is: 121728 cubed is: 5,159,780,352
1728 is even so it cannot have an odd cube root.
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 cube root of 1728 is 12
Because 123 = 1728
12
To find the number that, when multiplied by itself three times, equals 1728, you need to calculate the cube root of 1728. The cube root of 1728 is 12, since 12 × 12 × 12 = 1728. Therefore, the number is 12.
No, 2700 is not a perfect cube. A perfect cube is a number that can be expressed as the cube of an integer. The prime factorization of 2700 is (2^2 \times 3^3 \times 5^2), and since not all prime factors have exponents that are multiples of three, it cannot be a perfect cube.
To find the number that, when multiplied by itself three times, equals 1728, we need to calculate the cube root of 1728. The cube root of 1728 is 12, since (12 \times 12 \times 12 = 1728). Thus, the number you are looking for is 12.