Advertisements
Advertisements
प्रश्न
Which of the following is perfect cube?
456533
Advertisements
उत्तर
On factorising 456533 into prime factors, we get:
It is evident that the prime factors of 456533 can be grouped into triples of equal factors and no factor is left over. Therefore, 456533 is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the cubes of the number 55 .
Write the cubes of 5 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, ...) and verify the following:
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1'.
Which of the following is perfect cube?
216
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8788
Find the smallest number that must be subtracted from those of the numbers in question 2 which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?
Show that:
\[\frac{\sqrt[3]{729}}{\sqrt[3]{1000}} = \sqrt[3]{\frac{729}{1000}}\]
Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Find the smallest number by which 27783 be multiplied to get a perfect cube number.
Find the cube-root of 64
