Advertisements
Advertisements
प्रश्न
Find if the following number is a perfect cube?
24000
Advertisements
उत्तर
24000
∵ 24000 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5
| 2 | 24000 |
| 2 | 12000 |
| 2 | 6000 |
| 2 | 3000 |
| 2 | 1500 |
| 2 | 750 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
= (2)3 x (2)3 x (5)3 x 3
∴ 24000 is not a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be multiplied to obtain a perfect cube.
72
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Write the cubes of 5 natural numbers which are multiples of 3 and verify the followings:
'The cube of a natural number which is a multiple of 3 is a multiple of 27'
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
1323
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
7803
By which smallest number must the following number be divided so that the quotient is a perfect cube?
243000
Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125
By taking three different values of n verify the truth of the following statement:
If a natural number n is of the form 3p + 2 then n3 also a number of the same type.
Write true (T) or false (F) for the following statement:
8640 is not a perfect cube.
Write true (T) or false (F) for the following statement:
If a2 ends in an even number of zeros, then a3 ends in an odd number of zeros.
Which of the following number is cube of negative integer - 2744 .
Find the cube root of the following natural number 134217728 .
Find the cube root of the following natural number 33698267 .
Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.
Making use of the cube root table, find the cube root 70 .
Find the cube-root of 3375 x 512
The smallest number to be added to 3333 to make it a perfect cube is ___________
Show that 1944 is not a perfect cube
Find two smallest perfect square numbers which when multiplied together gives a perfect cube number
