Math, asked by SPIDEY3867, 1 year ago

Is 243 a perfect cube ? If not find the smallest natural number by which 243 must be multiplied so that the product is perfect cube ?

Answers

Answered by Muskan1101
74
Solution:-
LCM of 243=
3 \times 3 \times 3 \times 3 \times 3
Here,we can see that 3 are in group of five.

For any number to be perfect cube its prime factor should be in group of three.

We have found 3 which is in group of five.

If we separate them we will find two group of three,one consisting 3 three times and other have three only two time.

So,in order to make a number a perfect cube ,its prime factor should be in group of three.

Hence,the number which should be multiplied by 243 to make it perfect cube is 3.
Answered by ac1651982
24

Answer:

by prime factorization methods

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