Advertisements
Advertisements
प्रश्न
Find the least number by which 1323 must be multiplied so that the product is a perfect cube.
Advertisements
उत्तर
1323 = 3 × 3 × 3 × 7 × 7
= 33 × 72
To make it a perfect cube, the power of each prime factor must be a multiple of 3.
The power of 3 is already 3, but the power of 7 is 2.
We need one more 7 to make it 73.
So, multiply 1323 by 7.
1323 × 7 = 9261
9261 is a perfect cube.
Therefore, the least number is 7.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.
675
Which of the following is perfect cube?
216
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
2560
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:
There is no perfect cube which ends in 4.
Write true (T) or false (F) for the following statement:
If a2 ends in 9, then a3 ends in 7.
Find the cube root of the following integer −125 .
Find the cube root of the following integer −5832 .
Making use of the cube root table, find the cube root 70 .
Making use of the cube root table, find the cube root
700
Find if the following number is a perfect cube?
1728
Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Find the cube-root of 9261.
Find the cube-root of `343/512`
Find the cube-root of 64 x 27.
Find the cube-root of `(-512)/(343)`
Find the cube-root of 0.000027
Find the cube-root of 700 × 2 × 49 × 5.
If m is the cube root of n, then n is ______.
