How To find out the value of cube root of 216 –
We will find factors of the number 216 then we will take cube root of the number, it is a value which when multiplied by itself three times gives the original value, 216 So let’s start –
Step 1: Now we will find the factors of 216.
216 is divisible completely by 1, 2, 3, 4 ,6,8, 9,12,18,24, 27,36,54,72,108 and 216.
So the Factors of 216 are 1,2 3, ,4,6,8, 9,12,18,24,27,36,54,72,108 and 216. The factors greater than 1 are 2,4,6, 8, 9,12,18,24,27,27,36,54,72,108 and 216.
Step 2: If 6 is multiplied three times, the value is 216.
6*6*6 =216
Step 3: Hence 6 is considered to be the cube root of 216
Step 4: Therefore, we can say that the value of cube root of 216 is 6
Step 5: We express the value of cube root of 216 as ∛216 = 6
Since the cube root symbol is denoted by ∛
Multiple Choice Question
No 1) what are the highest prime factors of 216
a) 108
b) 2 and 3
c) 108 and 216
d) 2 and 216
Answer — b) 2 and 3
Because it has only two divisors or factors 1 and 2. It cannot be divided by any other number except 1 and itself.
Q.No.2) Which of the following is not a factor of 216?
a) 12
b) 14
c) 16
d) 3
Answer – b)14
it is not the factor of 216 since 216 is not completely divisibleby 14 leaving the remainder zero.