Advertisements
Advertisements
Question
Which of the following is perfect cube?
456533
Advertisements
Solution
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
RELATED QUESTIONS
Find the smallest number by which of the following number must be multiplied to obtain a perfect cube.
100
Write the cubes of 5 natural numbers of the form 3n + 2 (i.e. 5, 8, 11, ...) and verify the following:
'The cube of a natural number of the form 3n + 2 is a natural number of the same form i.e. when it is dividend by 3 the remainder is 2'.
Write the cubes of 5 natural numbers of which are multiples of 7 and verify the following:
'The cube of a multiple of 7 is a multiple of 73'.
Which of the following is perfect cube?
216
Write true (T) or false (F) for the following statement:
No cube can end with exactly two zeros.
Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .
Find the cube root of the following natural number 4913 .
Find the cube root of the following natural number 1157625 .
The cube of 0.0012 is 0.000001728.
Evaluate:
`root(3)(27) + root(3)(0.008) + root(3)(0.064)`
