Find the smallest number by which 20480 must be divided to obtain a pe

1.	Find the smallest number by which 20480 must be divided to obtain a perfect cube
Answer» Let's factorize 20480 by LCM. 2 \| 20480 2 \| 10240 2 \| 5120 2 \| 2560 2 \| 1280 2 \| 640 2 \| 320 2 \| 160 2 \| 80 2 \| 40 2 \| 20 2 \| 10 5 \| 5 \| 1 20480 = 2^12 x 5 = (2^4)^3 x 5 = 16^3 x 5 16^3 x 5 divided by 5 gives 16^3. ∴ 5 is the smallest number by which 20480 is divided to obtain a perfect cube. Hope this may be helpful. Please mark my ANSWER as the brainliest if this may be helpful. THANK you. Have a nice day.

Find the smallest number by which 20480 must be divided to obtain a perfect cube

Answer»

Let's factorize 20480 by LCM.

2 | 20480

2 | 10240

2 | 5120

2 | 2560

2 | 1280

2 | 640

2 | 320

2 | 160

2 | 80

2 | 40

2 | 20

2 | 10

5 | 5

| 1

20480 = 2^12 x 5 = (2^4)^3 x 5 = 16^3 x 5

16^3 x 5 divided by 5 gives 16^3.

∴ 5 is the smallest number by which 20480 is divided to obtain a perfect cube.

Hope this may be helpful.

Please mark my ANSWER as the brainliest if this may be helpful.

THANK you. Have a nice day.