Question

find the smallest number by which 8192must be divied to get a perfect cube
plz answer
I will mark you brilliant ​

Answer 1

Answer:

According to me, 2×2=4

Step-by-step explanation:

2 8192

2. 4096

2. 2048

2. 1024

2. 512

2. 256

2. 128

2. 64

2. 32

2. 16

2. 8

2. 4

2. 2

1

So, if we will make pair of 3 2s, then one 2 will be left. So we have to add two 2s to make it a perfect cube

Answer 2

Answer:

2

Step-by-step explanation:

Prime factorization of 8192:

8192

=> 2 ( 4096 )

=> 2² ( 2048 )

=> 2³ ( 1024 )

=> 2⁴ ( 512 )

=> 2⁵ ( 256 )

=> 2⁶ ( 128 )

=> 2⁷ ( 64 )

=> 2⁸ ( 32 )

=> 2⁹ ( 16 )

=> 2¹⁰ ( 8 )

=> 2¹⁰ * 2³

=> 2¹³

this can be written as 2¹² * 2

=> (2⁴)³ * 2

Since there is already a cubed part, (2⁴)³

To make it a perfect cube, we need to remove 2

Therefore, we need to divide 8192 by 2 to make it a perfect cube.