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.
81
By which smallest number must the following number be divided so that the quotient is a perfect cube?
8640
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.
Show that:
\[\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}\]
Find the cube-root of -512
Find the cube-root of 9.261
Find the cube-root of `(729)/(-1331)`
The cube of 0.0012 is 0.000001728.
Find the smallest number by which 10985 should be divided so that the quotient is a perfect cube
If a2 ends in 5, then a3 ends in 25.
