Advertisements
Advertisements
प्रश्न
Which of the following is perfect cube?
3087
Advertisements
उत्तर
On factorising 3087 into prime factors, we get:
\[3087 = 3 \times 3 \times 7 \times 7 \times 7\]
Group the factors in triples of equal factors as:
\[3087 = 3 \times 3 \times \left\{ 7 \times 7 \times 7 \right\}\]
It is evident that the prime factors of 3087 cannot be grouped into triples of equal factors such that no factor is left over. Therefore, 243 is a not perfect cube.
संबंधित प्रश्न
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
675
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
2560
What happens to the cube of a number if the number is multiplied by 4?
Write the units digit of the cube of each of the following numbers:
31, 109, 388, 833, 4276, 5922, 77774, 44447, 125125125
For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be multiplied so that the product is a perfect cube.
Which of the following number is cube of negative integer - 2744 .
Find the cube root of the following natural number 33698267 .
Find the cube-root of -512
Find the cube-root of `-(64)/(343)`
Find the cube-root of -2197.
