Advertisements
Advertisements
Question
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859
Advertisements
Solution
We know that the cubes of all odd natural numbers are odd. The numbers 125, 343, and 6859 are cubes of odd natural numbers.
Any natural numbers could be either even or odd. Therefore, if a natural number is not even, it is odd. Now, the numbers 125, 343 and 6859 are odd (It could be verified by divisibility test of 2, i.e., a number is divisible by 2 if it ends with 0, 2, 4, 6 or 8). None of the three numbers 125, 343 and 6859 are divisible by 2. Therefore, they are not even, they are odd. The numbers 1728, 4096 and 32768 are even.
Thus, cubes of odd natural numbers are 125, 343 and 6859.
APPEARS IN
RELATED QUESTIONS
Find the smallest number by which the following number must be divided to obtain a perfect cube.
81
Which of the following is perfect cube?
243
Which of the following is perfect cube?
4608
By which smallest number must the following number be divided so that the quotient is a perfect cube?
107811
Write true (T) or false (F) for the following statement:
No cube can end with exactly two zeros.
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?
Making use of the cube root table, find the cube root 70 .
Find if the following number is a perfect cube?
588
Find the cube-root of 1728.
Find the cube-root of `− 27/343`
