Advertisements
Advertisements
प्रश्न
Which of the following are cubes of odd natural numbers?
125, 343, 1728, 4096, 32768, 6859
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Find the cubes of the number 302 .
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
35721
Write true (T) or false (F) for the following statement:
If a2 ends in an even number of zeros, then a3 ends in an odd number of 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?
Find the cube root of the following natural number 157464 .
Find the cube root of the following integer −32768 .
Making use of the cube root table, find the cube root
780 .
Find the cube-root of 3375 x 512
Find the cube-root of −125 × 1000.
