Question

be
3. What is the smallest number that should
be multiplied to each of the following
numbers to get a perfect cube? any one is right


a) 432
b) 37044 c) 36864​

Answer 1

Answer:

1.

4

2.

2

3.

3

Step-by-step explanation:

note - to form cubes , you need one number multiplied by itself thrice.

1.

factorize 432

2*2*2*2*3*3*3

Now , for the cube , you have to multiply the number by four(i.e.2^2) to make the number 2^6 , which is a cube.

2.

prime factorize the number

you will get 2*2*3*3*3*7*7*7

you see one 2 is remaining to make a group of 3 numbers. that is the ans.

3.

prime factorize the number.

you will get 2*2*2*2*2*2*2*2*2*2*2*2*3*3

now to make groups of 3 , we find one 3 is needed

that is the answer.