Advertisements
Advertisements
प्रश्न
Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.
100
Advertisements
उत्तर
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
100 = 2 × 2 × 5 × 5
Here, two 2s and two 5s are left, which are not in a triplet. To make 100 a cube, we require one more 2 and one more 5.
Then, we obtain
100 × 2 × 5 = 2 × 2 × 2 × 5 × 5 × 5 = 1000 is a perfect cube
Hence, the smallest natural number by which 100 should be multiplied to make it a perfect cube is 2 × 5 = 10.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
243
Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Which of the following is perfect cube?
243
Which of the following is perfect cube?
1728
What happens to the cube of a number if the number is multiplied by 5?
Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125
Which of the following number is cube of negative integer - 2744 .
Find the cube root of the following natural number 1728 .
Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.
Find the smallest number by which 200 should be multiplied to make it a perfect cube
