Therefore, the cube root of 216 by prime factorization is (2 × 2 × 2 × 3 × 3 × 3)1/3 = 6.
The prime factorization of 216 is 2 × 2 × 2 × 3 × 3 × 3 or \(2^3\) × \(3^3\). This means 2 and 3 are the prime factors of 216.
So, the cube root of 216 is 6.
Thus, the required number is 6, whose cube is 216.
If a number is multiplied by itself and gives the result as 216, then the number is the square root 216. The square root of 216 is symbolically expressed as √216. Thus, if we multiply the number 14.697 two times, we get the original value 216. Square Root of 216 in Decimal Form: 14.697.
Therefore, the square root of 216 = 14.697.
Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two. For example, the square root of 9 is √9 = √(3×3) = 3. We can see, 9 is a perfect square and hence it is easier to find the root of such numbers.
An expression of the form a3 + b3 is called a sum of cubes. The factored form of a3 + b3 is (a + b)(a2 - ab + b2): (a + b)(a2 - ab + b2) = a3 + a2b - a2b - ab2 + ab2 + b3 = a3 - b3. For example, the factored form of 64x3 + 125 (a = 4x, b = 5) is (4x + 5)(16x2 - 20x + 25).
The prime factorization of 216 is 216 = 2 × 2 × 2 × 3 × 3 × 3.
Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.
No, 216 is not a prime number. The number 216 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
It can be calculated by first finding out the prime factorization of the given number and then later applying the cube root formula. Suppose, x is any number such that, x = y × y × y. The formula to calculate the cube root is given as: Cube root of x = ∛x = ∛(y × y × y) = y.
On a simple calculator
Divide by n where n is the nth root. For example if you are finding the cube root of a number, n will be 3. And you get your cube root!
The Least Common Multiple (LCM) of 216 and 135 is 1080. Therefore, all multiples of the number 1080 are the multiples to both 216 and 135.
The fourth root of 216 is about 3.833.
Because of this, the cube root (3rd root) of 216 is 6.
There is only one cubic root of 216, and it is 6.
Since 216 can be expressed as 2 × 2 × 2 × 3 × 3 × 3. Therefore, the cube root of 216 = ∛(2 × 2 × 2 × 3 × 3 × 3) = 6.
Answer and Explanation: The square root of 216 is approximately 14.69694 or 6√6 in radical form. The factors of 216 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.
Cube root of 216 is 6. That is \(2 \times 3\) which can be expressed in the form of p/q that is 6/1. So, the cube root of 216 is not irrational. It is an integer or we can also call it a rational number.