How To find out the value of cube root of 125
We will find factors of the number 125 then we will take cube root of the number. It is a value which when multiplied by itself three times gives the value, 125. So let’s start –
Step 1: The given value 125
Step 2: Now we will find the factors of 125.
125 is divisible completely by 1, 5,25 and 125.
So the Factors of 125 are 1,5,25.The factors greater than 1 are 5, 25 and 125
Step 3: If 5 is multiplied three times, the value is 125.
5*5*5 =125
Step 4: Hence 5 is considered to be the cube root of 125
Step 5: Therefore, we can say that the value of cube root of 125 is 5
Step 6 : We express the value of cube root of 125 as ∛125 = 5
Since the cube root symbol is denoted by ∛
Multiple Choice Question
No 1) what are the prime factors of 125
a) 5
b) 25 and 125
c) 1 and 5
d) 5 and 25
Answer — a) 5
Because 5 has only two divisors or factors 1 and 5. It cannot be divided by any other number except 1 and itself.
Q.No.2) Why 125 is not a Prime number ?
1) Because it has more than two factors other than 1 and itself
2) Because it is divisible by 5 and 25 completely
3) Since It has more than two factors
4) All of the above
Answer — D). All of the above.
Because 125 has more than two factors. A number is said to be Prime when it is divided by the number 1 and itself. Other than two factors, 1 and itself it has more factors i.e., 5 and 25. Hence 125 is not a prime number