Advertisements
Advertisements
Question
Find the smallest number by which of the following number must be divided to obtain a perfect cube.
128
Advertisements
Solution
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Here, one 2 is left, which is not in a triplet.
If we divide 128 by 2, then it will become a perfect cube.
Thus, 128 ÷ 2
= 64
= 2 × 2 × 2 × 2 × 2 × 2 is a perfect cube.
Hence, the smallest number by which 128 should be divided to make it a perfect cube is 2.
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the following number must be divided to obtain a perfect cube.
192
Which of the following is perfect cube?
4608
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8640
For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be divided so that the quotient is a perfect cube.
Write true (T) or false (F) for the following statement:
No cube can end with exactly two zeros.
Show that:
\[\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}\]
Find if the following number is a perfect cube?
1331
Find the cube-root of 3375.
Find the cube-root of 3375 x 512
Find the cube-root of 250.047
