Advertisements
Advertisements
प्रश्न
Which of the following is perfect cube?
64
उत्तर
On factorising 64 into prime factors, we get
\[64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2\]
Group the factors in triples of equal factors as:
\[64 = \left\{ 2 \times 2 \times 2 \right\} \times \left\{ 2 \times 2 \times 2 \right\}\]
It is evident that the prime factors of 64 can be grouped into triples of equal factors and no factor is left over. Therefore, 64 is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which of the following number must be divided to obtain a perfect cube.
128
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 .
By taking three different values of n verify the truth of the following statement:
If n is odd, then n3 is also odd.
By taking three different values of n verify the truth of the following statement:
If n leaves remainder 1 when divided by 3, then n3 also leaves 1 as remainder when divided by 3.
Write true (T) or false (F) for the following statement:
There is no perfect cube which ends in 4.
Making use of the cube root table, find the cube root
1346.
Find if the following number is a perfect cube?
588
Find the cube-root of `125/216`
Find the cube root 24 × 36 × 80 × 25
