Advertisements
Advertisements
प्रश्न
Which of the following is perfect cube?
243
Advertisements
उत्तर
On factorising 243 into prime factors, we get:
\[243 = 3 \times 3 \times 3 \times 3 \times 3\]
Group the factors in triples of equal factors as:
\[243 = \left\{ 3 \times 3 \times 3 \right\} \times 3 \times 3\]
It is evident that the prime factors of 243 cannot be grouped into triples of equal factors such that no factor is left over. Therefore, 243 is a not perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
192
Parikshit makes a cuboid of plasticine of sides 5cm, 2cm, 5cm. How many such cuboids will he need to form a cube?
Find the cubes of the number 100 .
What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?
2560
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.
By taking three different values of n verify the truth of the following statement:
If a natural number n is of the form 3p + 2 then n3 also a number of the same type.
Find the cube root of the following integer −32768 .
Making use of the cube root table, find the cube root
1346.
Find the cube-root of 250.047
If the cube of a squared number is 729, find the square root of that number
