Advertisements
Advertisements
प्रश्न
Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.
675
Advertisements
उत्तर
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
675 = 3 × 3 × 3 × 5 × 5
Here, two 5s are left, which are not in a triplet. To make 675 a cube, one more 5 is required.
Then, we obtain
675 × 5 = 3 × 3 × 3 × 5 × 5 × 5 = 3375 is a perfect cube.
Hence, the smallest natural number by which 675 should be multiplied to make it a perfect cube is 5.
APPEARS IN
संबंधित प्रश्न
Find the cubes of the number 301 .
Which of the following is perfect cube?
166375
Which of the following are cubes of even natural numbers?
216, 512, 729, 1000, 3375, 13824
By which smallest number must the following number be divided so that the quotient is a perfect cube?
35721
Prove that if a number is trebled then its cube is 27 times the cube of the given number.
Find the cube root of the following natural number 74088000 .
Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.
Find the units digit of the cube root of the following number 175616 .
Find the cube-root of 729 x 8000
Find the cube-root of -64 x -125
