Advertisements
Advertisements
Question
Find the smallest number by which the following number must be divided to obtain a perfect cube.
192
Advertisements
Solution
| 2 | 192 |
| 2 | 96 |
| 2 | 48 |
| 2 | 24 |
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
Here, one 3 is left, which is not in a triplet.
If we divide 192 by 3, then it will become a perfect cube.
Thus, 192 ÷ 3 = 64
= 2 × 2 × 2 × 2 × 2 × 2 is a perfect cube.
Hence, the smallest number by which 192 should be divided to make it a perfect cube is 3.
APPEARS IN
RELATED QUESTIONS
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
107811
Which of the following number is cube of negative integer - 2744 .
Show that: \[\sqrt[3]{27} \times \sqrt[3]{64} = \sqrt[3]{27 \times 64}\]
Show that: \[\sqrt[3]{- 125 \times 216} = \sqrt[3]{- 125} \times \sqrt[3]{216}\]
Find the units digit of the cube root of the following number 226981 .
Find the cube-root of 4096.
Find the cube-root of 64 x 27.
Find the cube-root of -1331
79570 is not a perfect cube
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
