How To find out the value of cube root of 343 –
We will find factors of the number 343 then we will take cube root of the number, it is a value which when multiplied by itself three times gives the original value, 343 So let’s start
Step 1: Now we will find the factors of 343.
343 is divisible completely by 1,7,49 and 343.
So the Factors of 343 are.1,7,49 and 343.
The factors greater than 1 are 7,49 and 343.
Step 2: If 7 is multiplied three times, the value is 343.
7*7*7 =343
Step 3: Hence 7 is considered to be the cube root of 343
Step 4: Therefore, we can say that the value of cube root of 343 is 7
Step 5: We express the value of cube root of 343 as ∛343 = 7
Since the cube root symbol is denoted by ∛
Multiple Choice Question –
No 1) what are the highest prime factors of 343
a) 1 and 7
b) 7 and 49
c) 7
d) 343
Answer – c) 7
Because 7 has only two divisors or factors i.e., the number 1 and 7. It cannot be divided by any other number except 1 and itself. Hence it is called the highest prime factor of 343
Q.No.2) Which of the following is a factor of 343?
a) 49
b) 17
c) 13
d) 3
Answer – a) 49
Since 49 divides 343 completely .