Advertisements
Advertisements
प्रश्न
Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Advertisements
उत्तर
The prime factor of 8768 are
| 2 | 8768 |
| 2 | 4384 |
| 2 | 2192 |
| 2 | 1096 |
| 2 | 548 |
| 2 | 274 |
| 137 | 137 |
| 1 |
= 2 x 2 x 2 x 2 x 2 x 2 x 137
= (2 x 2 x 2) x (2 x 2 x 2) x 137
Clearly, 8768 must be divided by 137.
APPEARS IN
संबंधित प्रश्न
Find the cubes of the number 55 .
Find the cubes of the number 302 .
What happens to the cube of a number if the number is multiplied by 4?
Which of the following number is not perfect cubes?
64
Write true (T) or false (F) for the following statement:
8640 is not a perfect cube.
Which of the following number is cube of negative integer - 2744 .
Find the cube root of the following natural number 33698267 .
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Find the units digit of the cube root of the following number 175616 .
Find if the following number is a perfect cube?
1331
Find the cube-root of 3375.
Find the cube-root of `-(64)/(343)`
Find the cube-root of 700 × 2 × 49 × 5.
Find the cube-root of `(729)/(-1331)`
Show that 1944 is not a perfect cube
Find the smallest number by which 10985 should be divided so that the quotient is a perfect cube
Find two smallest perfect square numbers which when multiplied together gives a perfect cube number
`root(3)(8 + 27) = root(3)(8) + root(3)(27)`.
