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 multiplied to obtain a perfect cube.
72
Find the cubes of the number 7 .
Find the cubes of the number 301 .
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.
Write true (T) or false (F) for the following statement:
If a2 ends in 9, then a3 ends in 7.
Write true (T) or false (F) for the following statement:
If a2 ends in 5, then a3 ends in 25.
Find the cube root of the following integer −32768 .
Making use of the cube root table, find the cube root
1346.
Find the smallest number by which 27783 be multiplied to get a perfect cube number.
Find the cube-root of 64 x 27.
